To solve the equation [tex]\(- (4 + h) = 3h\)[/tex] for [tex]\(h\)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
- (4 + h) = 3h
\][/tex]
2. Distribute the negative sign on the left side of the equation:
[tex]\[
-4 - h = 3h
\][/tex]
3. To get all terms involving [tex]\(h\)[/tex] on one side, add [tex]\(h\)[/tex] to both sides of the equation:
[tex]\[
-4 - h + h = 3h + h
\][/tex]
Simplify the equation by combining like terms:
[tex]\[
-4 = 4h
\][/tex]
4. Isolate [tex]\(h\)[/tex] by dividing both sides of the equation by 4:
[tex]\[
h = \frac{-4}{4}
\][/tex]
5. Simplify:
[tex]\[
h = -1
\][/tex]
Therefore, the solution to the equation [tex]\( - (4 + h) = 3h \)[/tex] is:
[tex]\[
h = -1
\][/tex]
