-3p-2(3-6p)=6(p-3)-24

Solution for -3p-2(3-6p)=6(p-3)-24 equation:

Simplifying
-3p + -2(3 + -6p) = 6(p + -3) + -24
-3p + (3 * -2 + -6p * -2) = 6(p + -3) + -24
-3p + (-6 + 12p) = 6(p + -3) + -24

Reorder the terms:
-6 + -3p + 12p = 6(p + -3) + -24

Combine like terms: -3p + 12p = 9p
-6 + 9p = 6(p + -3) + -24

Reorder the terms:
-6 + 9p = 6(-3 + p) + -24
-6 + 9p = (-3 * 6 + p * 6) + -24
-6 + 9p = (-18 + 6p) + -24

Reorder the terms:
-6 + 9p = -18 + -24 + 6p

Combine like terms: -18 + -24 = -42
-6 + 9p = -42 + 6p

Solving
-6 + 9p = -42 + 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 + 9p + -6p = -42 + 6p + -6p

Combine like terms: 9p + -6p = 3p
-6 + 3p = -42 + 6p + -6p

Combine like terms: 6p + -6p = 0
-6 + 3p = -42 + 0
-6 + 3p = -42

Add '6' to each side of the equation.
-6 + 6 + 3p = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 3p = -42 + 6
3p = -42 + 6

Combine like terms: -42 + 6 = -36
3p = -36

Divide each side by '3'.
p = -12

Simplifying
p = -12