Question

solve the equation.
-4(r + 2) = 4(2 - 2r)
use the sketch tool or paper if it helps with your thinking.

Explanation:

Step1: Distribute both sides

First, we distribute -4 on the left side and 4 on the right side of the equation.
For the left side: $-4(r + 2)=-4\times r+(-4)\times2=-4r - 8$
For the right side: $4(2 - 2r)=4\times2-4\times2r = 8-8r$
So the equation becomes $-4r - 8=8 - 8r$

Step2: Add 8r to both sides

To get all the r terms on one side, we add 8r to both sides.
$-4r+8r - 8=8-8r + 8r$
Simplifying, we have $4r - 8=8$

Step3: Add 8 to both sides

Now we add 8 to both sides to isolate the term with r.
$4r-8 + 8=8 + 8$
Simplifying gives $4r=16$

Step4: Divide by 4

Finally, we divide both sides by 4 to solve for r.
$\frac{4r}{4}=\frac{16}{4}$
Which simplifies to $r = 4$

Answer:

$r = 4$