-3(6p+6)-2(3-17p)=3(4+5p)

Solution for -3(6p+6)-2(3-17p)=3(4+5p) equation:

Simplifying
-3(6p + 6) + -2(3 + -17p) = 3(4 + 5p)

Reorder the terms:
-3(6 + 6p) + -2(3 + -17p) = 3(4 + 5p)
(6 * -3 + 6p * -3) + -2(3 + -17p) = 3(4 + 5p)
(-18 + -18p) + -2(3 + -17p) = 3(4 + 5p)
-18 + -18p + (3 * -2 + -17p * -2) = 3(4 + 5p)
-18 + -18p + (-6 + 34p) = 3(4 + 5p)

Reorder the terms:
-18 + -6 + -18p + 34p = 3(4 + 5p)

Combine like terms: -18 + -6 = -24
-24 + -18p + 34p = 3(4 + 5p)

Combine like terms: -18p + 34p = 16p
-24 + 16p = 3(4 + 5p)
-24 + 16p = (4 * 3 + 5p * 3)
-24 + 16p = (12 + 15p)

Solving
-24 + 16p = 12 + 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.
-24 + 16p + -15p = 12 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-24 + 1p = 12 + 15p + -15p

Combine like terms: 15p + -15p = 0
-24 + 1p = 12 + 0
-24 + 1p = 12

Add '24' to each side of the equation.
-24 + 24 + 1p = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 1p = 12 + 24
1p = 12 + 24

Combine like terms: 12 + 24 = 36
1p = 36

Divide each side by '1'.
p = 36

Simplifying
p = 36