To solve for \( h \) in the equation \( 5(5h - 15) = 9h + 9 \), let's start by distributing on the left side:
\[ 5(5h - 15) = 25h - 75 \]
Now, we rewrite the equation:
\[ 25h - 75 = 9h + 9 \]
Next, we can isolate \( h \) by moving all terms involving \( h \) to one side and constant terms to the other side. We'll subtract \( 9h \) from both sides:
\[ 25h - 9h - 75 = 9 \]
This simplifies to:
\[ 16h - 75 = 9 \]
Next, add \( 75 \) to both sides:
\[ 16h = 9 + 75 \]
Now, combine the constants on the right side:
\[ 16h = 84 \]
To isolate \( h \), divide both sides by \( 16 \):
\[ h = \frac{84}{16} = \frac{21}{4} \]
Thus, the solution is:
\[ h = 5.25 \]
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