2(3p - 6) = 12p what is the value of p?

Answer 1

To solve the equation \(2(3p - 6) = 12p\), we first distribute the 2 on the left side:

\[ 2 \cdot 3p - 2 \cdot 6 = 12p \]

This simplifies to:

\[ 6p - 12 = 12p \]

Next, we will isolate the variable \(p\). We can do this by subtracting \(6p\) from both sides:

\[ -12 = 12p - 6p \]

This simplifies to:

\[ -12 = 6p \]

Now, divide both sides by 6:

\[ p = \frac{-12}{6} \]

This simplifies to:

\[ p = -2 \]

Thus, the value of \(p\) is \(\boxed{-2}\).