2p-2(6-3p)=3(p-2)-36

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Solution for 2p-2(6-3p)=3(p-2)-36 equation:


Simplifying
2p + -2(6 + -3p) = 3(p + -2) + -36
2p + (6 * -2 + -3p * -2) = 3(p + -2) + -36
2p + (-12 + 6p) = 3(p + -2) + -36

Reorder the terms:
-12 + 2p + 6p = 3(p + -2) + -36

Combine like terms: 2p + 6p = 8p
-12 + 8p = 3(p + -2) + -36

Reorder the terms:
-12 + 8p = 3(-2 + p) + -36
-12 + 8p = (-2 * 3 + p * 3) + -36
-12 + 8p = (-6 + 3p) + -36

Reorder the terms:
-12 + 8p = -6 + -36 + 3p

Combine like terms: -6 + -36 = -42
-12 + 8p = -42 + 3p

Solving
-12 + 8p = -42 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-12 + 8p + -3p = -42 + 3p + -3p

Combine like terms: 8p + -3p = 5p
-12 + 5p = -42 + 3p + -3p

Combine like terms: 3p + -3p = 0
-12 + 5p = -42 + 0
-12 + 5p = -42

Add '12' to each side of the equation.
-12 + 12 + 5p = -42 + 12

Combine like terms: -12 + 12 = 0
0 + 5p = -42 + 12
5p = -42 + 12

Combine like terms: -42 + 12 = -30
5p = -30

Divide each side by '5'.
p = -6

Simplifying
p = -6

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