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

1 answer

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:

\[ \boxed{-5} \]