-3(5p+2)-2(1-11p)=3(2+2p)

Solution for -3(5p+2)-2(1-11p)=3(2+2p) equation:

Simplifying
-3(5p + 2) + -2(1 + -11p) = 3(2 + 2p)

Reorder the terms:
-3(2 + 5p) + -2(1 + -11p) = 3(2 + 2p)
(2 * -3 + 5p * -3) + -2(1 + -11p) = 3(2 + 2p)
(-6 + -15p) + -2(1 + -11p) = 3(2 + 2p)
-6 + -15p + (1 * -2 + -11p * -2) = 3(2 + 2p)
-6 + -15p + (-2 + 22p) = 3(2 + 2p)

Reorder the terms:
-6 + -2 + -15p + 22p = 3(2 + 2p)

Combine like terms: -6 + -2 = -8
-8 + -15p + 22p = 3(2 + 2p)

Combine like terms: -15p + 22p = 7p
-8 + 7p = 3(2 + 2p)
-8 + 7p = (2 * 3 + 2p * 3)
-8 + 7p = (6 + 6p)

Solving
-8 + 7p = 6 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-8 + 7p + -6p = 6 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-8 + 1p = 6 + 6p + -6p

Combine like terms: 6p + -6p = 0
-8 + 1p = 6 + 0
-8 + 1p = 6

Add '8' to each side of the equation.
-8 + 8 + 1p = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 1p = 6 + 8
1p = 6 + 8

Combine like terms: 6 + 8 = 14
1p = 14

Divide each side by '1'.
p = 14

Simplifying
p = 14