2p-4(6-2p)=5(p-4)-14

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Solution for 2p-4(6-2p)=5(p-4)-14 equation:


Simplifying
2p + -4(6 + -2p) = 5(p + -4) + -14
2p + (6 * -4 + -2p * -4) = 5(p + -4) + -14
2p + (-24 + 8p) = 5(p + -4) + -14

Reorder the terms:
-24 + 2p + 8p = 5(p + -4) + -14

Combine like terms: 2p + 8p = 10p
-24 + 10p = 5(p + -4) + -14

Reorder the terms:
-24 + 10p = 5(-4 + p) + -14
-24 + 10p = (-4 * 5 + p * 5) + -14
-24 + 10p = (-20 + 5p) + -14

Reorder the terms:
-24 + 10p = -20 + -14 + 5p

Combine like terms: -20 + -14 = -34
-24 + 10p = -34 + 5p

Solving
-24 + 10p = -34 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-24 + 10p + -5p = -34 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-24 + 5p = -34 + 5p + -5p

Combine like terms: 5p + -5p = 0
-24 + 5p = -34 + 0
-24 + 5p = -34

Add '24' to each side of the equation.
-24 + 24 + 5p = -34 + 24

Combine like terms: -24 + 24 = 0
0 + 5p = -34 + 24
5p = -34 + 24

Combine like terms: -34 + 24 = -10
5p = -10

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

Simplifying
p = -2

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