-3(6p+6)-2(6-17p)=3(8+5p)

Solution for -3(6p+6)-2(6-17p)=3(8+5p) equation:

Simplifying
-3(6p + 6) + -2(6 + -17p) = 3(8 + 5p)

Reorder the terms:
-3(6 + 6p) + -2(6 + -17p) = 3(8 + 5p)
(6 * -3 + 6p * -3) + -2(6 + -17p) = 3(8 + 5p)
(-18 + -18p) + -2(6 + -17p) = 3(8 + 5p)
-18 + -18p + (6 * -2 + -17p * -2) = 3(8 + 5p)
-18 + -18p + (-12 + 34p) = 3(8 + 5p)

Reorder the terms:
-18 + -12 + -18p + 34p = 3(8 + 5p)

Combine like terms: -18 + -12 = -30
-30 + -18p + 34p = 3(8 + 5p)

Combine like terms: -18p + 34p = 16p
-30 + 16p = 3(8 + 5p)
-30 + 16p = (8 * 3 + 5p * 3)
-30 + 16p = (24 + 15p)

Solving
-30 + 16p = 24 + 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.
-30 + 16p + -15p = 24 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-30 + 1p = 24 + 15p + -15p

Combine like terms: 15p + -15p = 0
-30 + 1p = 24 + 0
-30 + 1p = 24

Add '30' to each side of the equation.
-30 + 30 + 1p = 24 + 30

Combine like terms: -30 + 30 = 0
0 + 1p = 24 + 30
1p = 24 + 30

Combine like terms: 24 + 30 = 54
1p = 54

Divide each side by '1'.
p = 54

Simplifying
p = 54