Subtract 9 from each side of the equation to get rid of 9 on the right, so that 8h is alone on the right side of the equation.

5
1

(5h−15)
=
9h+9

h − 3
=
9h + 9

h

h

−3
=
8h +9

9

9

=

1 answer

Let's start with the equation you provided:

\[ h - 3 = 9h + 9 \]

Now, we want to subtract 9 from both sides of the equation:

\[ h - 3 - 9 = 9h + 9 - 9 \]

This simplifies to:

\[ h - 12 = 9h \]

Next, we want to isolate \(h\) on the left side. To do that, we can subtract \(h\) from both sides:

\[ h - h - 12 = 9h - h \]

This simplifies to:

\[ -12 = 8h \]

Now, if you want to express this in terms of \(h\), you can divide both sides by 8:

\[ h = -\frac{12}{8} \]

This further simplifies to:

\[ h = -\frac{3}{2} \quad \text{or} \quad h = -1.5 \]

So the final answer is \(h = -\frac{3}{2}\).