-3(3p+3)-2(3-8p)=3(9+2p)

Solution for -3(3p+3)-2(3-8p)=3(9+2p) equation:

Simplifying
-3(3p + 3) + -2(3 + -8p) = 3(9 + 2p)

Reorder the terms:
-3(3 + 3p) + -2(3 + -8p) = 3(9 + 2p)
(3 * -3 + 3p * -3) + -2(3 + -8p) = 3(9 + 2p)
(-9 + -9p) + -2(3 + -8p) = 3(9 + 2p)
-9 + -9p + (3 * -2 + -8p * -2) = 3(9 + 2p)
-9 + -9p + (-6 + 16p) = 3(9 + 2p)

Reorder the terms:
-9 + -6 + -9p + 16p = 3(9 + 2p)

Combine like terms: -9 + -6 = -15
-15 + -9p + 16p = 3(9 + 2p)

Combine like terms: -9p + 16p = 7p
-15 + 7p = 3(9 + 2p)
-15 + 7p = (9 * 3 + 2p * 3)
-15 + 7p = (27 + 6p)

Solving
-15 + 7p = 27 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-15 + 7p + -6p = 27 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-15 + 1p = 27 + 6p + -6p

Combine like terms: 6p + -6p = 0
-15 + 1p = 27 + 0
-15 + 1p = 27

Add '15' to each side of the equation.
-15 + 15 + 1p = 27 + 15

Combine like terms: -15 + 15 = 0
0 + 1p = 27 + 15
1p = 27 + 15

Combine like terms: 27 + 15 = 42
1p = 42

Divide each side by '1'.
p = 42

Simplifying
p = 42