Question

Could someone explain this to me?

Answer 1

You must solve for p, in order to solve for p you must move all the terms to equal p, so the equation is

`2m + 2p = 16`
first move the 2m, subtract the 2m from both sides

`2m + 2p = 16 \\ - 2m \: \: \: \: \: \: \: \: - 2m`
the 2m and -2m cancel out and now your equation looks like

`2p = 16 - 2m`
now to leave p by itself you must divide by 2 on both sides as the 2 is being multiplies on the p (opposite)

`(2p)/(2) = (16 - 2m)/(2)`
now to put the answer is simplest form your answer is

`p = 8 - m`
which is the first answer choice