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 $\boxed{{\displaystyle -2}}$.