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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
=

1 answer

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: \[ h = -\frac{8}{5} \]