-8p-6(2-3p)=6(p-6)-12

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Solution for -8p-6(2-3p)=6(p-6)-12 equation:


Simplifying
-8p + -6(2 + -3p) = 6(p + -6) + -12
-8p + (2 * -6 + -3p * -6) = 6(p + -6) + -12
-8p + (-12 + 18p) = 6(p + -6) + -12

Reorder the terms:
-12 + -8p + 18p = 6(p + -6) + -12

Combine like terms: -8p + 18p = 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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