12(-p+12)=-4(p+9)+4p

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Solution for 12(-p+12)=-4(p+9)+4p equation: 


Simplifying
12(-1p + 12) = -4(p + 9) + 4p

Reorder the terms:
12(12 + -1p) = -4(p + 9) + 4p
(12 * 12 + -1p * 12) = -4(p + 9) + 4p
(144 + -12p) = -4(p + 9) + 4p

Reorder the terms:
144 + -12p = -4(9 + p) + 4p
144 + -12p = (9 * -4 + p * -4) + 4p
144 + -12p = (-36 + -4p) + 4p

Combine like terms: -4p + 4p = 0
144 + -12p = -36 + 0
144 + -12p = -36

Solving
144 + -12p = -36

Solving for variable 'p'.

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

Add '-144' to each side of the equation.
144 + -144 + -12p = -36 + -144

Combine like terms: 144 + -144 = 0
0 + -12p = -36 + -144
-12p = -36 + -144

Combine like terms: -36 + -144 = -180
-12p = -180

Divide each side by '-12'.
p = 15

Simplifying
p = 15

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