### Instruction: Find $r$ if $3(r-7) = 4(2-2r) + 4$.### Response: To solve for $r$, I need to isolate it on one side of the equation by using inverse operations.
First, I'll simplify the equation by expanding the brackets and combining like terms.
I get $3r - 21 = 8 - 8r + 4$, which simplifies to $3r - 21 = 12 - 8r$.
Next, I'll add $8r$ to both sides to eliminate it from the right side.
I get $11r - 21 = 12$.
Then, I'll add $21$ to both sides to eliminate it from the left side.
I get $11r = 33$.
Finally, I'll divide both sides by $11$ to get $r$ by itself.
I get $r = 3$.