-P+3p=2(3p+6)-6(p+6)

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


Simplifying
-1P + 3p = 2(3p + 6) + -6(p + 6)

Reorder the terms:
-1P + 3p = 2(6 + 3p) + -6(p + 6)
-1P + 3p = (6 * 2 + 3p * 2) + -6(p + 6)
-1P + 3p = (12 + 6p) + -6(p + 6)

Reorder the terms:
-1P + 3p = 12 + 6p + -6(6 + p)
-1P + 3p = 12 + 6p + (6 * -6 + p * -6)
-1P + 3p = 12 + 6p + (-36 + -6p)

Reorder the terms:
-1P + 3p = 12 + -36 + 6p + -6p

Combine like terms: 12 + -36 = -24
-1P + 3p = -24 + 6p + -6p

Combine like terms: 6p + -6p = 0
-1P + 3p = -24 + 0
-1P + 3p = -24

Solving
-1P + 3p = -24

Solving for variable 'P'.

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

Add '-3p' to each side of the equation.
-1P + 3p + -3p = -24 + -3p

Combine like terms: 3p + -3p = 0
-1P + 0 = -24 + -3p
-1P = -24 + -3p

Divide each side by '-1'.
P = 24 + 3p

Simplifying
P = 24 + 3p

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