-4(3p+3)-30=2(2p+3)

Solution for -4(3p+3)-30=2(2p+3) equation:

Simplifying
-4(3p + 3) + -30 = 2(2p + 3)

Reorder the terms:
-4(3 + 3p) + -30 = 2(2p + 3)
(3 * -4 + 3p * -4) + -30 = 2(2p + 3)
(-12 + -12p) + -30 = 2(2p + 3)

Reorder the terms:
-12 + -30 + -12p = 2(2p + 3)

Combine like terms: -12 + -30 = -42
-42 + -12p = 2(2p + 3)

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

Solving
-42 + -12p = 6 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-42 + -12p + -4p = 6 + 4p + -4p

Combine like terms: -12p + -4p = -16p
-42 + -16p = 6 + 4p + -4p

Combine like terms: 4p + -4p = 0
-42 + -16p = 6 + 0
-42 + -16p = 6

Add '42' to each side of the equation.
-42 + 42 + -16p = 6 + 42

Combine like terms: -42 + 42 = 0
0 + -16p = 6 + 42
-16p = 6 + 42

Combine like terms: 6 + 42 = 48
-16p = 48

Divide each side by '-16'.
p = -3

Simplifying
p = -3