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

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


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

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

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

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

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

Combine like terms: -36 + -6 = -42
-6 + 10p = -42 + 6p

Solving
-6 + 10p = -42 + 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.
-6 + 10p + -6p = -42 + 6p + -6p

Combine like terms: 10p + -6p = 4p
-6 + 4p = -42 + 6p + -6p

Combine like terms: 6p + -6p = 0
-6 + 4p = -42 + 0
-6 + 4p = -42

Add '6' to each side of the equation.
-6 + 6 + 4p = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 4p = -42 + 6
4p = -42 + 6

Combine like terms: -42 + 6 = -36
4p = -36

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

Simplifying
p = -9

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