Question

Solve for h. You can choose to show your work below or solve on paper, then enter your answer on Zearn.
5
1
​
(5h−15)
=
9h+9

h − 3
=
9h + 9
−
h
−
h

−3
=
8h +9
−
9
−
9

−12
=
8h

h
=

Answer 1

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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