-2p-2(3-4p)=2(p-2)-30

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Solution for -2p-2(3-4p)=2(p-2)-30 equation:


Simplifying
-2p + -2(3 + -4p) = 2(p + -2) + -30
-2p + (3 * -2 + -4p * -2) = 2(p + -2) + -30
-2p + (-6 + 8p) = 2(p + -2) + -30

Reorder the terms:
-6 + -2p + 8p = 2(p + -2) + -30

Combine like terms: -2p + 8p = 6p
-6 + 6p = 2(p + -2) + -30

Reorder the terms:
-6 + 6p = 2(-2 + p) + -30
-6 + 6p = (-2 * 2 + p * 2) + -30
-6 + 6p = (-4 + 2p) + -30

Reorder the terms:
-6 + 6p = -4 + -30 + 2p

Combine like terms: -4 + -30 = -34
-6 + 6p = -34 + 2p

Solving
-6 + 6p = -34 + 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.
-6 + 6p + -2p = -34 + 2p + -2p

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

Combine like terms: 2p + -2p = 0
-6 + 4p = -34 + 0
-6 + 4p = -34

Add '6' to each side of the equation.
-6 + 6 + 4p = -34 + 6

Combine like terms: -6 + 6 = 0
0 + 4p = -34 + 6
4p = -34 + 6

Combine like terms: -34 + 6 = -28
4p = -28

Divide each side by '4'.
p = -7

Simplifying
p = -7

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