Question

Solve for p. -7p - 6 + 6p = 2p + 9

Answer 1

To solve the equation \(-7p - 6 + 6p = 2p + 9\), we can start by simplifying the left side of the equation.

First, combine like terms on the left side:

\[
-7p + 6p - 6 = 2p + 9
\]

This simplifies to:

\[
-p - 6 = 2p + 9
\]

Next, we want to isolate the variable \(p\). We can start by adding \(p\) to both sides:

\[
-p + p - 6 = 2p + p + 9
\]

This simplifies to:

\[
-6 = 3p + 9
\]

Now, subtract \(9\) from both sides to isolate the term with \(p\):

\[
-6 - 9 = 3p
\]

This gives us:

\[
-15 = 3p
\]

Now, divide both sides by \(3\):

\[
p = \frac{-15}{3}
\]

This simplifies to:

\[
p = -5
\]

Thus, the solution is:

\[
\boxed{-5}
\]