Question

Finish solving for h. You can choose to show your work below or solve on paper, then enter your answer on Zearn.
2
3
​
(4+3h)
=
2+2h

2 ·
2
3
​
(4+3h)
=
2 · (2+2h)

3(4+3h)
=
4 + 4h

12 + 9h
=
4 + 4h
−
4h
−
4h

12+5h
=
4

h
=

Answer 1

To solve for \( h \), we begin from the equation you've derived:

\[ 12 + 5h = 4 \]

Now, we can isolate \( h \) by following these steps:

1. Subtract 12 from both sides:
\[
5h = 4 - 12
\]
This simplifies to:
\[
5h = -8
\]

2. Now, divide both sides by 5 to solve for \( h \):
\[
h = \frac{-8}{5}
\]

Thus, the value of \( h \) is:
\[
h = -\frac{8}{5}
\]