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Solve for $h$ . $\newline$ $7 - h = 3\left(\frac{2}{3}h + 4\right)$ $\newline$ $h =$ __

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

h

.

\newline

7 - h = 3\left(\frac{2}{3}h + 4\right)

\newline

h =

__

Distribute $3$ : Distribute $3$ to the terms inside the parentheses. $\newline$ Calculation: $3 \times \left(\frac{2}{3}h + 4\right) = 2h + 12$
Rewrite equation: Rewrite the equation with all terms involving $h$ on one side and constant terms on the other. $\newline$ Calculation: $7 - h = 2h + 12$ $\newline$ $7 - 12 = 2h + h$ $\newline$ $-5 = 3h$

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