To solve the equation [tex]\(-9h - 6 + 12h + 40 = 22\)[/tex], let's go through the solution step-by-step:
1. Combine like terms:
[tex]\[
(-9h + 12h) + (-6 + 40) = 22
\][/tex]
Simplify the terms inside the parentheses:
[tex]\[
3h + 34 = 22
\][/tex]
2. Isolate the variable term:
Subtract 34 from both sides of the equation to isolate the term involving [tex]\( h \)[/tex]:
[tex]\[
3h + 34 - 34 = 22 - 34
\][/tex]
Simplify the equation:
[tex]\[
3h = -12
\][/tex]
3. Solve for [tex]\( h \)[/tex]:
Divide both sides by 3 to solve for [tex]\( h \)[/tex]:
[tex]\[
h = \frac{-12}{3}
\][/tex]
Simplify the fraction:
[tex]\[
h = -4
\][/tex]
So, the solution to the equation is [tex]\( h = -4 \)[/tex].
Thus, the correct answer is:
C. [tex]\( h = -4 \)[/tex]
