Question

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

Answer 1

To solve the equation \(-7p - 6 + 6p = 2p + 9\), we can start by combining like terms on the left side:

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

This simplifies to:

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

Next, we'll add \(p\) to both sides to move all \(p\) terms to one side:

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

This simplifies to:

\[
-6 = 3p + 9
\]

Now we will isolate the \(p\) term by subtracting 9 from both sides:

\[
-6 - 9 = 3p
\]

This gives us:

\[
-15 = 3p
\]

Now, divide both sides by 3 to solve for \(p\):

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

Simplifying gives:

\[
p = -5
\]

Thus, the solution for \(p\) is:

\[
\boxed{-5}
\]