-2p-2(2-4p)=2(p-5)-34

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Solution for -2p-2(2-4p)=2(p-5)-34 equation:


Simplifying
-2p + -2(2 + -4p) = 2(p + -5) + -34
-2p + (2 * -2 + -4p * -2) = 2(p + -5) + -34
-2p + (-4 + 8p) = 2(p + -5) + -34

Reorder the terms:
-4 + -2p + 8p = 2(p + -5) + -34

Combine like terms: -2p + 8p = 6p
-4 + 6p = 2(p + -5) + -34

Reorder the terms:
-4 + 6p = 2(-5 + p) + -34
-4 + 6p = (-5 * 2 + p * 2) + -34
-4 + 6p = (-10 + 2p) + -34

Reorder the terms:
-4 + 6p = -10 + -34 + 2p

Combine like terms: -10 + -34 = -44
-4 + 6p = -44 + 2p

Solving
-4 + 6p = -44 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-4 + 6p + -2p = -44 + 2p + -2p

Combine like terms: 6p + -2p = 4p
-4 + 4p = -44 + 2p + -2p

Combine like terms: 2p + -2p = 0
-4 + 4p = -44 + 0
-4 + 4p = -44

Add '4' to each side of the equation.
-4 + 4 + 4p = -44 + 4

Combine like terms: -4 + 4 = 0
0 + 4p = -44 + 4
4p = -44 + 4

Combine like terms: -44 + 4 = -40
4p = -40

Divide each side by '4'.
p = -10

Simplifying
p = -10

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