-4(-6+2p)-2(p-9)=-9p-7p

Solution for -4(-6+2p)-2(p-9)=-9p-7p equation:

Simplifying
-4(-6 + 2p) + -2(p + -9) = -9p + -7p
(-6 * -4 + 2p * -4) + -2(p + -9) = -9p + -7p
(24 + -8p) + -2(p + -9) = -9p + -7p

Reorder the terms:
24 + -8p + -2(-9 + p) = -9p + -7p
24 + -8p + (-9 * -2 + p * -2) = -9p + -7p
24 + -8p + (18 + -2p) = -9p + -7p

Reorder the terms:
24 + 18 + -8p + -2p = -9p + -7p

Combine like terms: 24 + 18 = 42
42 + -8p + -2p = -9p + -7p

Combine like terms: -8p + -2p = -10p
42 + -10p = -9p + -7p

Combine like terms: -9p + -7p = -16p
42 + -10p = -16p

Solving
42 + -10p = -16p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '16p' to each side of the equation.
42 + -10p + 16p = -16p + 16p

Combine like terms: -10p + 16p = 6p
42 + 6p = -16p + 16p

Combine like terms: -16p + 16p = 0
42 + 6p = 0

Add '-42' to each side of the equation.
42 + -42 + 6p = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 6p = 0 + -42
6p = 0 + -42

Combine like terms: 0 + -42 = -42
6p = -42

Divide each side by '6'.
p = -7

Simplifying
p = -7