6+-6(p+2)=-8(-3+p)

Solution for 6+-6(p+2)=-8(-3+p) equation:

Simplifying
6 + -6(p + 2) = -8(-3 + p)

Reorder the terms:
6 + -6(2 + p) = -8(-3 + p)
6 + (2 * -6 + p * -6) = -8(-3 + p)
6 + (-12 + -6p) = -8(-3 + p)

Combine like terms: 6 + -12 = -6
-6 + -6p = -8(-3 + p)
-6 + -6p = (-3 * -8 + p * -8)
-6 + -6p = (24 + -8p)

Solving
-6 + -6p = 24 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
-6 + -6p + 8p = 24 + -8p + 8p

Combine like terms: -6p + 8p = 2p
-6 + 2p = 24 + -8p + 8p

Combine like terms: -8p + 8p = 0
-6 + 2p = 24 + 0
-6 + 2p = 24

Add '6' to each side of the equation.
-6 + 6 + 2p = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 2p = 24 + 6
2p = 24 + 6

Combine like terms: 24 + 6 = 30
2p = 30

Divide each side by '2'.
p = 15

Simplifying
p = 15