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

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

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

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

Reorder the terms:
-6 + -6 + -15p + 34p = 3(6 + 6p)

Combine like terms: -6 + -6 = -12
-12 + -15p + 34p = 3(6 + 6p)

Combine like terms: -15p + 34p = 19p
-12 + 19p = 3(6 + 6p)
-12 + 19p = (6 * 3 + 6p * 3)
-12 + 19p = (18 + 18p)

Solving
-12 + 19p = 18 + 18p

Solving for variable 'p'.

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

Add '-18p' to each side of the equation.
-12 + 19p + -18p = 18 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-12 + 1p = 18 + 18p + -18p

Combine like terms: 18p + -18p = 0
-12 + 1p = 18 + 0
-12 + 1p = 18

Add '12' to each side of the equation.
-12 + 12 + 1p = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 1p = 18 + 12
1p = 18 + 12

Combine like terms: 18 + 12 = 30
1p = 30

Divide each side by '1'.
p = 30

Simplifying
p = 30