3(p+2)=3(2p-4)-9

Solution for 3(p+2)=3(2p-4)-9 equation:

Simplifying
3(p + 2) = 3(2p + -4) + -9

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

Reorder the terms:
6 + 3p = 3(-4 + 2p) + -9
6 + 3p = (-4 * 3 + 2p * 3) + -9
6 + 3p = (-12 + 6p) + -9

Reorder the terms:
6 + 3p = -12 + -9 + 6p

Combine like terms: -12 + -9 = -21
6 + 3p = -21 + 6p

Solving
6 + 3p = -21 + 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.
6 + 3p + -6p = -21 + 6p + -6p

Combine like terms: 3p + -6p = -3p
6 + -3p = -21 + 6p + -6p

Combine like terms: 6p + -6p = 0
6 + -3p = -21 + 0
6 + -3p = -21

Add '-6' to each side of the equation.
6 + -6 + -3p = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -3p = -21 + -6
-3p = -21 + -6

Combine like terms: -21 + -6 = -27
-3p = -27

Divide each side by '-3'.
p = 9

Simplifying
p = 9