what is the value of p in the linear equation 24p + 12 - 18p = 10 + 2p - 6? -4 -2 2 4

Explanation:

Step1: Combine like - terms on both sides

Combine the $p$ terms on the left - hand side: $24p-18p = 6p$, so the left - hand side is $6p + 12$. Combine the constant terms on the right - hand side: $10-6=4$, so the right - hand side is $2p + 4$. The equation becomes $6p+12 = 2p + 4$.

Step2: Move the $p$ terms to one side

Subtract $2p$ from both sides: $6p-2p+12=2p-2p + 4$, which simplifies to $4p+12 = 4$.

Step3: Move the constant to the other side

Subtract 12 from both sides: $4p+12 - 12=4 - 12$, resulting in $4p=-8$.

Step4: Solve for $p$

Divide both sides by 4: $\frac{4p}{4}=\frac{-8}{4}$, so $p=-2$.

Answer:

-2