Solve for p.

-7p-6+6p=2p+9

1 answer

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:

\[ \boxed{-5} \]