-6(2p+4)-36=3(3p+8)

Solution for -6(2p+4)-36=3(3p+8) equation:

Simplifying
-6(2p + 4) + -36 = 3(3p + 8)

Reorder the terms:
-6(4 + 2p) + -36 = 3(3p + 8)
(4 * -6 + 2p * -6) + -36 = 3(3p + 8)
(-24 + -12p) + -36 = 3(3p + 8)

Reorder the terms:
-24 + -36 + -12p = 3(3p + 8)

Combine like terms: -24 + -36 = -60
-60 + -12p = 3(3p + 8)

Reorder the terms:
-60 + -12p = 3(8 + 3p)
-60 + -12p = (8 * 3 + 3p * 3)
-60 + -12p = (24 + 9p)

Solving
-60 + -12p = 24 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-60 + -12p + -9p = 24 + 9p + -9p

Combine like terms: -12p + -9p = -21p
-60 + -21p = 24 + 9p + -9p

Combine like terms: 9p + -9p = 0
-60 + -21p = 24 + 0
-60 + -21p = 24

Add '60' to each side of the equation.
-60 + 60 + -21p = 24 + 60

Combine like terms: -60 + 60 = 0
0 + -21p = 24 + 60
-21p = 24 + 60

Combine like terms: 24 + 60 = 84
-21p = 84

Divide each side by '-21'.
p = -4

Simplifying
p = -4