-3(3p+2)-2(4-8p)=3(6+2p)

Solution for -3(3p+2)-2(4-8p)=3(6+2p) equation:

Simplifying
-3(3p + 2) + -2(4 + -8p) = 3(6 + 2p)

Reorder the terms:
-3(2 + 3p) + -2(4 + -8p) = 3(6 + 2p)
(2 * -3 + 3p * -3) + -2(4 + -8p) = 3(6 + 2p)
(-6 + -9p) + -2(4 + -8p) = 3(6 + 2p)
-6 + -9p + (4 * -2 + -8p * -2) = 3(6 + 2p)
-6 + -9p + (-8 + 16p) = 3(6 + 2p)

Reorder the terms:
-6 + -8 + -9p + 16p = 3(6 + 2p)

Combine like terms: -6 + -8 = -14
-14 + -9p + 16p = 3(6 + 2p)

Combine like terms: -9p + 16p = 7p
-14 + 7p = 3(6 + 2p)
-14 + 7p = (6 * 3 + 2p * 3)
-14 + 7p = (18 + 6p)

Solving
-14 + 7p = 18 + 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.
-14 + 7p + -6p = 18 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-14 + 1p = 18 + 6p + -6p

Combine like terms: 6p + -6p = 0
-14 + 1p = 18 + 0
-14 + 1p = 18

Add '14' to each side of the equation.
-14 + 14 + 1p = 18 + 14

Combine like terms: -14 + 14 = 0
0 + 1p = 18 + 14
1p = 18 + 14

Combine like terms: 18 + 14 = 32
1p = 32

Divide each side by '1'.
p = 32

Simplifying
p = 32