8p-2(6p-4)=2p+14

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Solution for 8p-2(6p-4)=2p+14 equation:


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

Reorder the terms:
8p + -2(-4 + 6p) = 2p + 14
8p + (-4 * -2 + 6p * -2) = 2p + 14
8p + (8 + -12p) = 2p + 14

Reorder the terms:
8 + 8p + -12p = 2p + 14

Combine like terms: 8p + -12p = -4p
8 + -4p = 2p + 14

Reorder the terms:
8 + -4p = 14 + 2p

Solving
8 + -4p = 14 + 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 = 14 + 2p + -2p

Combine like terms: -4p + -2p = -6p
8 + -6p = 14 + 2p + -2p

Combine like terms: 2p + -2p = 0
8 + -6p = 14 + 0
8 + -6p = 14

Add '-8' to each side of the equation.
8 + -8 + -6p = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -6p = 14 + -8
-6p = 14 + -8

Combine like terms: 14 + -8 = 6
-6p = 6

Divide each side by '-6'.
p = -1

Simplifying
p = -1

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