-6=-4(-8p+36)-9(5p-24)

Solution for -6=-4(-8p+36)-9(5p-24) equation:

Simplifying
-6 = -4(-8p + 36) + -9(5p + -24)

Reorder the terms:
-6 = -4(36 + -8p) + -9(5p + -24)
-6 = (36 * -4 + -8p * -4) + -9(5p + -24)
-6 = (-144 + 32p) + -9(5p + -24)

Reorder the terms:
-6 = -144 + 32p + -9(-24 + 5p)
-6 = -144 + 32p + (-24 * -9 + 5p * -9)
-6 = -144 + 32p + (216 + -45p)

Reorder the terms:
-6 = -144 + 216 + 32p + -45p

Combine like terms: -144 + 216 = 72
-6 = 72 + 32p + -45p

Combine like terms: 32p + -45p = -13p
-6 = 72 + -13p

Solving
-6 = 72 + -13p

Solving for variable 'p'.

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

Add '13p' to each side of the equation.
-6 + 13p = 72 + -13p + 13p

Combine like terms: -13p + 13p = 0
-6 + 13p = 72 + 0
-6 + 13p = 72

Add '6' to each side of the equation.
-6 + 6 + 13p = 72 + 6

Combine like terms: -6 + 6 = 0
0 + 13p = 72 + 6
13p = 72 + 6

Combine like terms: 72 + 6 = 78
13p = 78

Divide each side by '13'.
p = 6

Simplifying
p = 6