-4(3p+3)-42=3(2p+6)

Solution for -4(3p+3)-42=3(2p+6) equation:

Simplifying
-4(3p + 3) + -42 = 3(2p + 6)

Reorder the terms:
-4(3 + 3p) + -42 = 3(2p + 6)
(3 * -4 + 3p * -4) + -42 = 3(2p + 6)
(-12 + -12p) + -42 = 3(2p + 6)

Reorder the terms:
-12 + -42 + -12p = 3(2p + 6)

Combine like terms: -12 + -42 = -54
-54 + -12p = 3(2p + 6)

Reorder the terms:
-54 + -12p = 3(6 + 2p)
-54 + -12p = (6 * 3 + 2p * 3)
-54 + -12p = (18 + 6p)

Solving
-54 + -12p = 18 + 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.
-54 + -12p + -6p = 18 + 6p + -6p

Combine like terms: -12p + -6p = -18p
-54 + -18p = 18 + 6p + -6p

Combine like terms: 6p + -6p = 0
-54 + -18p = 18 + 0
-54 + -18p = 18

Add '54' to each side of the equation.
-54 + 54 + -18p = 18 + 54

Combine like terms: -54 + 54 = 0
0 + -18p = 18 + 54
-18p = 18 + 54

Combine like terms: 18 + 54 = 72
-18p = 72

Divide each side by '-18'.
p = -4

Simplifying
p = -4