2p-2(4-3p)=3(p-2)-37

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Solution for 2p-2(4-3p)=3(p-2)-37 equation: 


Simplifying
2p + -2(4 + -3p) = 3(p + -2) + -37
2p + (4 * -2 + -3p * -2) = 3(p + -2) + -37
2p + (-8 + 6p) = 3(p + -2) + -37

Reorder the terms:
-8 + 2p + 6p = 3(p + -2) + -37

Combine like terms: 2p + 6p = 8p
-8 + 8p = 3(p + -2) + -37

Reorder the terms:
-8 + 8p = 3(-2 + p) + -37
-8 + 8p = (-2 * 3 + p * 3) + -37
-8 + 8p = (-6 + 3p) + -37

Reorder the terms:
-8 + 8p = -6 + -37 + 3p

Combine like terms: -6 + -37 = -43
-8 + 8p = -43 + 3p

Solving
-8 + 8p = -43 + 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.
-8 + 8p + -3p = -43 + 3p + -3p

Combine like terms: 8p + -3p = 5p
-8 + 5p = -43 + 3p + -3p

Combine like terms: 3p + -3p = 0
-8 + 5p = -43 + 0
-8 + 5p = -43

Add '8' to each side of the equation.
-8 + 8 + 5p = -43 + 8

Combine like terms: -8 + 8 = 0
0 + 5p = -43 + 8
5p = -43 + 8

Combine like terms: -43 + 8 = -35
5p = -35

Divide each side by '5'.
p = -7

Simplifying
p = -7

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