what is the value of p in the linear equation 24p + 12 - 18p = 10 + 2p - 6?\n-4\n-2\n2\n4

Explanation:

Step1: Combine like - terms on both sides

On the left - hand side, $24p-18p = 6p$, so the left - hand side becomes $6p + 12$. On the right - hand side, $10-6=4$, so the right - hand side becomes $2p + 4$. The equation is now $6p+12 = 2p + 4$.

Step2: Move the variable 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 terms to one side

Subtract 12 from both sides: $4p+12-12=4 - 12$, which gives $4p=-8$.

Step4: Solve for $p$

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

Answer:

-2