-4(3p+3)-27=3(5p+5)

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Solution for -4(3p+3)-27=3(5p+5) equation:


Simplifying
-4(3p + 3) + -27 = 3(5p + 5)

Reorder the terms:
-4(3 + 3p) + -27 = 3(5p + 5)
(3 * -4 + 3p * -4) + -27 = 3(5p + 5)
(-12 + -12p) + -27 = 3(5p + 5)

Reorder the terms:
-12 + -27 + -12p = 3(5p + 5)

Combine like terms: -12 + -27 = -39
-39 + -12p = 3(5p + 5)

Reorder the terms:
-39 + -12p = 3(5 + 5p)
-39 + -12p = (5 * 3 + 5p * 3)
-39 + -12p = (15 + 15p)

Solving
-39 + -12p = 15 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-39 + -12p + -15p = 15 + 15p + -15p

Combine like terms: -12p + -15p = -27p
-39 + -27p = 15 + 15p + -15p

Combine like terms: 15p + -15p = 0
-39 + -27p = 15 + 0
-39 + -27p = 15

Add '39' to each side of the equation.
-39 + 39 + -27p = 15 + 39

Combine like terms: -39 + 39 = 0
0 + -27p = 15 + 39
-27p = 15 + 39

Combine like terms: 15 + 39 = 54
-27p = 54

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

Simplifying
p = -2

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