-8p-12+1+p=-12[p-2]+4[p-10]

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Solution for -8p-12+1+p=-12[p-2]+4[p-10] equation:


Simplifying
-8p + -12 + 1 + p = -12[p + -2] + 4[p + -10]

Reorder the terms:
-12 + 1 + -8p + p = -12[p + -2] + 4[p + -10]

Combine like terms: -12 + 1 = -11
-11 + -8p + p = -12[p + -2] + 4[p + -10]

Combine like terms: -8p + p = -7p
-11 + -7p = -12[p + -2] + 4[p + -10]

Reorder the terms:
-11 + -7p = -12[-2 + p] + 4[p + -10]
-11 + -7p = [-2 * -12 + p * -12] + 4[p + -10]
-11 + -7p = [24 + -12p] + 4[p + -10]

Reorder the terms:
-11 + -7p = 24 + -12p + 4[-10 + p]
-11 + -7p = 24 + -12p + [-10 * 4 + p * 4]
-11 + -7p = 24 + -12p + [-40 + 4p]

Reorder the terms:
-11 + -7p = 24 + -40 + -12p + 4p

Combine like terms: 24 + -40 = -16
-11 + -7p = -16 + -12p + 4p

Combine like terms: -12p + 4p = -8p
-11 + -7p = -16 + -8p

Solving
-11 + -7p = -16 + -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.
-11 + -7p + 8p = -16 + -8p + 8p

Combine like terms: -7p + 8p = 1p
-11 + 1p = -16 + -8p + 8p

Combine like terms: -8p + 8p = 0
-11 + 1p = -16 + 0
-11 + 1p = -16

Add '11' to each side of the equation.
-11 + 11 + 1p = -16 + 11

Combine like terms: -11 + 11 = 0
0 + 1p = -16 + 11
1p = -16 + 11

Combine like terms: -16 + 11 = -5
1p = -5

Divide each side by '1'.
p = -5

Simplifying
p = -5

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