2p-2(6-4p)=6(p-6)-12

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Solution for 2p-2(6-4p)=6(p-6)-12 equation:


Simplifying
2p + -2(6 + -4p) = 6(p + -6) + -12
2p + (6 * -2 + -4p * -2) = 6(p + -6) + -12
2p + (-12 + 8p) = 6(p + -6) + -12

Reorder the terms:
-12 + 2p + 8p = 6(p + -6) + -12

Combine like terms: 2p + 8p = 10p
-12 + 10p = 6(p + -6) + -12

Reorder the terms:
-12 + 10p = 6(-6 + p) + -12
-12 + 10p = (-6 * 6 + p * 6) + -12
-12 + 10p = (-36 + 6p) + -12

Reorder the terms:
-12 + 10p = -36 + -12 + 6p

Combine like terms: -36 + -12 = -48
-12 + 10p = -48 + 6p

Solving
-12 + 10p = -48 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-12 + 10p + -6p = -48 + 6p + -6p

Combine like terms: 10p + -6p = 4p
-12 + 4p = -48 + 6p + -6p

Combine like terms: 6p + -6p = 0
-12 + 4p = -48 + 0
-12 + 4p = -48

Add '12' to each side of the equation.
-12 + 12 + 4p = -48 + 12

Combine like terms: -12 + 12 = 0
0 + 4p = -48 + 12
4p = -48 + 12

Combine like terms: -48 + 12 = -36
4p = -36

Divide each side by '4'.
p = -9

Simplifying
p = -9

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