-3(3p+4)-2(2-8p)-3(6+2p)=0

Solution for -3(3p+4)-2(2-8p)-3(6+2p)=0 equation:

Simplifying
-3(3p + 4) + -2(2 + -8p) + -3(6 + 2p) = 0

Reorder the terms:
-3(4 + 3p) + -2(2 + -8p) + -3(6 + 2p) = 0
(4 * -3 + 3p * -3) + -2(2 + -8p) + -3(6 + 2p) = 0
(-12 + -9p) + -2(2 + -8p) + -3(6 + 2p) = 0
-12 + -9p + (2 * -2 + -8p * -2) + -3(6 + 2p) = 0
-12 + -9p + (-4 + 16p) + -3(6 + 2p) = 0
-12 + -9p + -4 + 16p + (6 * -3 + 2p * -3) = 0
-12 + -9p + -4 + 16p + (-18 + -6p) = 0

Reorder the terms:
-12 + -4 + -18 + -9p + 16p + -6p = 0

Combine like terms: -12 + -4 = -16
-16 + -18 + -9p + 16p + -6p = 0

Combine like terms: -16 + -18 = -34
-34 + -9p + 16p + -6p = 0

Combine like terms: -9p + 16p = 7p
-34 + 7p + -6p = 0

Combine like terms: 7p + -6p = 1p
-34 + 1p = 0

Solving
-34 + 1p = 0

Solving for variable 'p'.

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

Add '34' to each side of the equation.
-34 + 34 + 1p = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 1p = 0 + 34
1p = 0 + 34

Combine like terms: 0 + 34 = 34
1p = 34

Divide each side by '1'.
p = 34

Simplifying
p = 34