-4(2p+2)-32=3(5p+2)

Solution for -4(2p+2)-32=3(5p+2) equation:

Simplifying
-4(2p + 2) + -32 = 3(5p + 2)

Reorder the terms:
-4(2 + 2p) + -32 = 3(5p + 2)
(2 * -4 + 2p * -4) + -32 = 3(5p + 2)
(-8 + -8p) + -32 = 3(5p + 2)

Reorder the terms:
-8 + -32 + -8p = 3(5p + 2)

Combine like terms: -8 + -32 = -40
-40 + -8p = 3(5p + 2)

Reorder the terms:
-40 + -8p = 3(2 + 5p)
-40 + -8p = (2 * 3 + 5p * 3)
-40 + -8p = (6 + 15p)

Solving
-40 + -8p = 6 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-40 + -8p + -15p = 6 + 15p + -15p

Combine like terms: -8p + -15p = -23p
-40 + -23p = 6 + 15p + -15p

Combine like terms: 15p + -15p = 0
-40 + -23p = 6 + 0
-40 + -23p = 6

Add '40' to each side of the equation.
-40 + 40 + -23p = 6 + 40

Combine like terms: -40 + 40 = 0
0 + -23p = 6 + 40
-23p = 6 + 40

Combine like terms: 6 + 40 = 46
-23p = 46

Divide each side by '-23'.
p = -2

Simplifying
p = -2