Question

keep going. were trying to get h alone on one side and a constant alone on the other. we can make a balanced move so that the h terms are only on one side. we have -2h + 2 on the left. what move can we make to get rid of -2h on the left, so that all the h terms are on the right, while maintaining balance?
10 - 2(h + 4) = 3h - 8
10 - 2h - 8 = 3h - 8
-2h + 2 = 3h - 8
divide both sides by 2h
multiply both sides by 2h
add 2h to both sides
subtract 2h from both sides

Explanation:

Step1: Identify target term to eliminate

We need to remove $-2h$ from the left side.

Step2: Select balanced operation

To cancel $-2h$, add $2h$ to both sides:
$-2h + 2 + 2h = 3h - 8 + 2h$
Simplify to get $2 = 5h - 8$, which collects all $h$ terms on the right.

Answer:

Add 2h to both sides