-3(6p+2)-2(5-17p)-3(6+5p)=0

Solution for -3(6p+2)-2(5-17p)-3(6+5p)=0 equation:

Simplifying
-3(6p + 2) + -2(5 + -17p) + -3(6 + 5p) = 0

Reorder the terms:
-3(2 + 6p) + -2(5 + -17p) + -3(6 + 5p) = 0
(2 * -3 + 6p * -3) + -2(5 + -17p) + -3(6 + 5p) = 0
(-6 + -18p) + -2(5 + -17p) + -3(6 + 5p) = 0
-6 + -18p + (5 * -2 + -17p * -2) + -3(6 + 5p) = 0
-6 + -18p + (-10 + 34p) + -3(6 + 5p) = 0
-6 + -18p + -10 + 34p + (6 * -3 + 5p * -3) = 0
-6 + -18p + -10 + 34p + (-18 + -15p) = 0

Reorder the terms:
-6 + -10 + -18 + -18p + 34p + -15p = 0

Combine like terms: -6 + -10 = -16
-16 + -18 + -18p + 34p + -15p = 0

Combine like terms: -16 + -18 = -34
-34 + -18p + 34p + -15p = 0

Combine like terms: -18p + 34p = 16p
-34 + 16p + -15p = 0

Combine like terms: 16p + -15p = 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