Solve for h
-8 = - 2 (h - 6)
H=

The first step that we need to take before solving is to understand what the question is asking us to do and what is given to us to do that. Looking at this problem, we are given the goal of this problem which is to solve for h and we are given an expression to do so.

The next step that we need to take is to distribute the -2 to the contents inside of the parenthesis.

Distribute

[tex]-8 = - 2 (h - 6)[/tex]

[tex]-8 = (- 2 * h) + (-2 * - 6)[/tex]

[tex]-8 = (- 2h) + (12)[/tex]

After we have distributed the -2 to the contents inside of the parenthesis we can move onto the next step to isolate h which is to subtract 12 from both sides which would just leave us with -2h.

Subtract 12 from both sides

[tex]-8 = - 2h + 12[/tex]

[tex]-8 - 12 = - 2h + 12 - 12[/tex]

[tex]-20 = - 2h[/tex]

The next step that we will take to finish the problem is to divide both sides by -2 which will isolate h. Then we will simplify the expression and that will give us our final answer.

Divide both sides by -2

[tex]-20 = - 2h[/tex]

[tex]\frac{-20}{-2} = \frac{- 2h}{-2}[/tex]

[tex]\frac{-20}{-2} = h[/tex]

Simplify the expression

[tex]\frac{-20/-2}{-2/-2} = h[/tex]

[tex]\frac{10}{1} = h[/tex]

[tex]10= h[/tex]

We have now completed solving for h for the expression that was provided in the problem statement and we were able to determine that h is equal to 10.