6p-2(6-2p)=5(p-6)-7

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Solution for 6p-2(6-2p)=5(p-6)-7 equation:


Simplifying
6p + -2(6 + -2p) = 5(p + -6) + -7
6p + (6 * -2 + -2p * -2) = 5(p + -6) + -7
6p + (-12 + 4p) = 5(p + -6) + -7

Reorder the terms:
-12 + 6p + 4p = 5(p + -6) + -7

Combine like terms: 6p + 4p = 10p
-12 + 10p = 5(p + -6) + -7

Reorder the terms:
-12 + 10p = 5(-6 + p) + -7
-12 + 10p = (-6 * 5 + p * 5) + -7
-12 + 10p = (-30 + 5p) + -7

Reorder the terms:
-12 + 10p = -30 + -7 + 5p

Combine like terms: -30 + -7 = -37
-12 + 10p = -37 + 5p

Solving
-12 + 10p = -37 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-12 + 10p + -5p = -37 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-12 + 5p = -37 + 5p + -5p

Combine like terms: 5p + -5p = 0
-12 + 5p = -37 + 0
-12 + 5p = -37

Add '12' to each side of the equation.
-12 + 12 + 5p = -37 + 12

Combine like terms: -12 + 12 = 0
0 + 5p = -37 + 12
5p = -37 + 12

Combine like terms: -37 + 12 = -25
5p = -25

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

Simplifying
p = -5

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