### Instruction: Find $r$ if $3(r-5)=24$.### Response: To solve for $r$, I need to isolate it on one side of the equation by using inverse operations.
First, I will undo the multiplication by 3 by dividing both sides by 3.
That gives me $r-5=8$.
Next, I will undo the subtraction by 5 by adding 5 to both sides.
That gives me $r=13$.
To check my answer, I can plug it back into the original equation and see if it makes it true.
I get $3(13-5)=24$, which simplifies to $3(8)=24$, which is true.