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

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


Simplifying
-2p + -5(6 + -2p) = 6(p + -4) + -14
-2p + (6 * -5 + -2p * -5) = 6(p + -4) + -14
-2p + (-30 + 10p) = 6(p + -4) + -14

Reorder the terms:
-30 + -2p + 10p = 6(p + -4) + -14

Combine like terms: -2p + 10p = 8p
-30 + 8p = 6(p + -4) + -14

Reorder the terms:
-30 + 8p = 6(-4 + p) + -14
-30 + 8p = (-4 * 6 + p * 6) + -14
-30 + 8p = (-24 + 6p) + -14

Reorder the terms:
-30 + 8p = -24 + -14 + 6p

Combine like terms: -24 + -14 = -38
-30 + 8p = -38 + 6p

Solving
-30 + 8p = -38 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-30 + 8p + -6p = -38 + 6p + -6p

Combine like terms: 8p + -6p = 2p
-30 + 2p = -38 + 6p + -6p

Combine like terms: 6p + -6p = 0
-30 + 2p = -38 + 0
-30 + 2p = -38

Add '30' to each side of the equation.
-30 + 30 + 2p = -38 + 30

Combine like terms: -30 + 30 = 0
0 + 2p = -38 + 30
2p = -38 + 30

Combine like terms: -38 + 30 = -8
2p = -8

Divide each side by '2'.
p = -4

Simplifying
p = -4

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