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

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

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

Reorder the terms:
-3(3 + 5p) + -2(2 + -17p) = 3(6 + 6p)
(3 * -3 + 5p * -3) + -2(2 + -17p) = 3(6 + 6p)
(-9 + -15p) + -2(2 + -17p) = 3(6 + 6p)
-9 + -15p + (2 * -2 + -17p * -2) = 3(6 + 6p)
-9 + -15p + (-4 + 34p) = 3(6 + 6p)

Reorder the terms:
-9 + -4 + -15p + 34p = 3(6 + 6p)

Combine like terms: -9 + -4 = -13
-13 + -15p + 34p = 3(6 + 6p)

Combine like terms: -15p + 34p = 19p
-13 + 19p = 3(6 + 6p)
-13 + 19p = (6 * 3 + 6p * 3)
-13 + 19p = (18 + 18p)

Solving
-13 + 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.
-13 + 19p + -18p = 18 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-13 + 1p = 18 + 18p + -18p

Combine like terms: 18p + -18p = 0
-13 + 1p = 18 + 0
-13 + 1p = 18

Add '13' to each side of the equation.
-13 + 13 + 1p = 18 + 13

Combine like terms: -13 + 13 = 0
0 + 1p = 18 + 13
1p = 18 + 13

Combine like terms: 18 + 13 = 31
1p = 31

Divide each side by '1'.
p = 31

Simplifying
p = 31