-2p-2(4-3p)=2(p-5)-8

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Solution for -2p-2(4-3p)=2(p-5)-8 equation:


Simplifying
-2p + -2(4 + -3p) = 2(p + -5) + -8
-2p + (4 * -2 + -3p * -2) = 2(p + -5) + -8
-2p + (-8 + 6p) = 2(p + -5) + -8

Reorder the terms:
-8 + -2p + 6p = 2(p + -5) + -8

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

Reorder the terms:
-8 + 4p = 2(-5 + p) + -8
-8 + 4p = (-5 * 2 + p * 2) + -8
-8 + 4p = (-10 + 2p) + -8

Reorder the terms:
-8 + 4p = -10 + -8 + 2p

Combine like terms: -10 + -8 = -18
-8 + 4p = -18 + 2p

Solving
-8 + 4p = -18 + 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.
-8 + 4p + -2p = -18 + 2p + -2p

Combine like terms: 4p + -2p = 2p
-8 + 2p = -18 + 2p + -2p

Combine like terms: 2p + -2p = 0
-8 + 2p = -18 + 0
-8 + 2p = -18

Add '8' to each side of the equation.
-8 + 8 + 2p = -18 + 8

Combine like terms: -8 + 8 = 0
0 + 2p = -18 + 8
2p = -18 + 8

Combine like terms: -18 + 8 = -10
2p = -10

Divide each side by '2'.
p = -5

Simplifying
p = -5

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