-6p-3=9(3p-6)-7(5+5p)

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Solution for -6p-3=9(3p-6)-7(5+5p) equation:


Simplifying
-6p + -3 = 9(3p + -6) + -7(5 + 5p)

Reorder the terms:
-3 + -6p = 9(3p + -6) + -7(5 + 5p)

Reorder the terms:
-3 + -6p = 9(-6 + 3p) + -7(5 + 5p)
-3 + -6p = (-6 * 9 + 3p * 9) + -7(5 + 5p)
-3 + -6p = (-54 + 27p) + -7(5 + 5p)
-3 + -6p = -54 + 27p + (5 * -7 + 5p * -7)
-3 + -6p = -54 + 27p + (-35 + -35p)

Reorder the terms:
-3 + -6p = -54 + -35 + 27p + -35p

Combine like terms: -54 + -35 = -89
-3 + -6p = -89 + 27p + -35p

Combine like terms: 27p + -35p = -8p
-3 + -6p = -89 + -8p

Solving
-3 + -6p = -89 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
-3 + -6p + 8p = -89 + -8p + 8p

Combine like terms: -6p + 8p = 2p
-3 + 2p = -89 + -8p + 8p

Combine like terms: -8p + 8p = 0
-3 + 2p = -89 + 0
-3 + 2p = -89

Add '3' to each side of the equation.
-3 + 3 + 2p = -89 + 3

Combine like terms: -3 + 3 = 0
0 + 2p = -89 + 3
2p = -89 + 3

Combine like terms: -89 + 3 = -86
2p = -86

Divide each side by '2'.
p = -43

Simplifying
p = -43

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