-7(3p+3)-15=3(2p+6)

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Solution for -7(3p+3)-15=3(2p+6) equation:


Simplifying
-7(3p + 3) + -15 = 3(2p + 6)

Reorder the terms:
-7(3 + 3p) + -15 = 3(2p + 6)
(3 * -7 + 3p * -7) + -15 = 3(2p + 6)
(-21 + -21p) + -15 = 3(2p + 6)

Reorder the terms:
-21 + -15 + -21p = 3(2p + 6)

Combine like terms: -21 + -15 = -36
-36 + -21p = 3(2p + 6)

Reorder the terms:
-36 + -21p = 3(6 + 2p)
-36 + -21p = (6 * 3 + 2p * 3)
-36 + -21p = (18 + 6p)

Solving
-36 + -21p = 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.
-36 + -21p + -6p = 18 + 6p + -6p

Combine like terms: -21p + -6p = -27p
-36 + -27p = 18 + 6p + -6p

Combine like terms: 6p + -6p = 0
-36 + -27p = 18 + 0
-36 + -27p = 18

Add '36' to each side of the equation.
-36 + 36 + -27p = 18 + 36

Combine like terms: -36 + 36 = 0
0 + -27p = 18 + 36
-27p = 18 + 36

Combine like terms: 18 + 36 = 54
-27p = 54

Divide each side by '-27'.
p = -2

Simplifying
p = -2

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