Changing variable dbl to integer

I have a variable that is currently "dbl" and values have been coded 1-10. However, I need it to be integer and renaming the value to its appropriate name. For example; value 1 = 5, value 2 = 6, values 3 = 7...... the ggplot scale should plot values 5-14 not 1-10. I am not sure how to do this and cannot find a correct code to convert to integer and change the values? Is this even possible?

(df_ <- data.frame(nums = 5:14 * 1.0000001))

df_$ints <- as.integer(df_$nums)-4L

#take a look 
str(df_)

Thank you for responding but I am sorry I don't understand the code (df_ ?
My dataframe is called socialactiondata and the variable I want changed is 'year of school' - I tried the code below?

(socialactiondata_ <- socialactiondata(nums = 5:14 * 1.0000001))

df_$ints <- as.integer(df_$nums)-4L

But error is

Error in socialactiondata(nums = 5:14 * 1.0000001) :
could not find function "socialactiondata"

I think you need

socialactiondata$`year of school` <- as.integer(socialactiondata$`year of school`)-4L

Hello, that is not working either - error message

Warning: Unknown or uninitialised column: `year of school`.Error:
! Assigned data `as.integer(socialactiondata$\`year of school\`) - 4L` must be compatible with existing data.
✖ Existing data has 1100 rows.
✖ Assigned data has 0 rows.
ℹ Only vectors of size 1 are recycled.
Backtrace:
  1. base::`$<-`(`*tmp*`, `year of school`, value = `<int>`)
 12. tibble (local) `<fn>`(`<vctrs___>`)

you told us you had a variable `year of school` in socialactiondata data.frame
but I suppose your error message is evidence that you dont ?
prehaps look at the names with

names(socialactiondata)

Thanks for your help but here is what I get when I do code you suggest name(socialactiondata):
[1] "Year of School" "Frequency of Activity" "Type of Area"
[4] "Nation" "Social Class" "Age Group"
[7] "Sex" "Ethnicity" "Age of First Action Activity"

This shows I do have a variable named 'year of school' which is double with values 1-10 that I need to change to 5-14 but no codes I am using are working

R is case sensitive so “word” is not the same as “Word”

I understand - I used tried code with lower case and upper case and still have not got result I need.

The code below has changed variable to integer ....

socialactiondata$Year of School <- as.integer(socialactiondata$Year of School)-4L

Rows: 1,100
Columns: 9
$ Year of School 2, 2, 0, 0, 3, 3, 1, 1, -2, -2, 0, 0, -2, -2, -3, -3, 1, 1,…

but the values are still not correct, there should not be any -2 or any negative number
The values 1-10 should be 5-14 because the codebook says
1 = 5
2= 6
3=7
4=8
5=9
6=10
7=11
8=12
9=13
10=14

I understand. The code below changes the variable to integer

socialactiondata$Year of School <- as.integer(socialactiondata$Year of School)-4L

I get this result

Rows: 1,100
Columns: 9
$ Year of School 2, 2, 0, 0, 3, 3, 1, 1, -2, -2, 0, 0, -2, -2, -3, -3, 1, 1,…

However, this is still not correct. There should not be any negative numbers as the code book from the dataset tells me the following:
Value 1 = 5 (year 5 of school)
2=6
3=7
4=8
5=9
6=10
7=11
8=12
9=13
10=14

If Year of School = 1 means year 5 of school, then why are you subtracting 4 instead of adding it?

It would be helpful if you posted the results of head(socialactiondata).