-6=2(3+3p)+6(p-8)

Solution for -6=2(3+3p)+6(p-8) equation:

Simplifying
-6 = 2(3 + 3p) + 6(p + -8)
-6 = (3 * 2 + 3p * 2) + 6(p + -8)
-6 = (6 + 6p) + 6(p + -8)

Reorder the terms:
-6 = 6 + 6p + 6(-8 + p)
-6 = 6 + 6p + (-8 * 6 + p * 6)
-6 = 6 + 6p + (-48 + 6p)

Reorder the terms:
-6 = 6 + -48 + 6p + 6p

Combine like terms: 6 + -48 = -42
-6 = -42 + 6p + 6p

Combine like terms: 6p + 6p = 12p
-6 = -42 + 12p

Solving
-6 = -42 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-6 + -12p = -42 + 12p + -12p

Combine like terms: 12p + -12p = 0
-6 + -12p = -42 + 0
-6 + -12p = -42

Add '6' to each side of the equation.
-6 + 6 + -12p = -42 + 6

Combine like terms: -6 + 6 = 0
0 + -12p = -42 + 6
-12p = -42 + 6

Combine like terms: -42 + 6 = -36
-12p = -36

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

Simplifying
p = 3