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

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

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

Reorder the terms:
-3(5 + 6p) + -2(4 + -17p) = 3(6 + 5p)
(5 * -3 + 6p * -3) + -2(4 + -17p) = 3(6 + 5p)
(-15 + -18p) + -2(4 + -17p) = 3(6 + 5p)
-15 + -18p + (4 * -2 + -17p * -2) = 3(6 + 5p)
-15 + -18p + (-8 + 34p) = 3(6 + 5p)

Reorder the terms:
-15 + -8 + -18p + 34p = 3(6 + 5p)

Combine like terms: -15 + -8 = -23
-23 + -18p + 34p = 3(6 + 5p)

Combine like terms: -18p + 34p = 16p
-23 + 16p = 3(6 + 5p)
-23 + 16p = (6 * 3 + 5p * 3)
-23 + 16p = (18 + 15p)

Solving
-23 + 16p = 18 + 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.
-23 + 16p + -15p = 18 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-23 + 1p = 18 + 15p + -15p

Combine like terms: 15p + -15p = 0
-23 + 1p = 18 + 0
-23 + 1p = 18

Add '23' to each side of the equation.
-23 + 23 + 1p = 18 + 23

Combine like terms: -23 + 23 = 0
0 + 1p = 18 + 23
1p = 18 + 23

Combine like terms: 18 + 23 = 41
1p = 41

Divide each side by '1'.
p = 41

Simplifying
p = 41