-4p-4(4-3p)=6(p-2)-14

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Solution for -4p-4(4-3p)=6(p-2)-14 equation:


Simplifying
-4p + -4(4 + -3p) = 6(p + -2) + -14
-4p + (4 * -4 + -3p * -4) = 6(p + -2) + -14
-4p + (-16 + 12p) = 6(p + -2) + -14

Reorder the terms:
-16 + -4p + 12p = 6(p + -2) + -14

Combine like terms: -4p + 12p = 8p
-16 + 8p = 6(p + -2) + -14

Reorder the terms:
-16 + 8p = 6(-2 + p) + -14
-16 + 8p = (-2 * 6 + p * 6) + -14
-16 + 8p = (-12 + 6p) + -14

Reorder the terms:
-16 + 8p = -12 + -14 + 6p

Combine like terms: -12 + -14 = -26
-16 + 8p = -26 + 6p

Solving
-16 + 8p = -26 + 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.
-16 + 8p + -6p = -26 + 6p + -6p

Combine like terms: 8p + -6p = 2p
-16 + 2p = -26 + 6p + -6p

Combine like terms: 6p + -6p = 0
-16 + 2p = -26 + 0
-16 + 2p = -26

Add '16' to each side of the equation.
-16 + 16 + 2p = -26 + 16

Combine like terms: -16 + 16 = 0
0 + 2p = -26 + 16
2p = -26 + 16

Combine like terms: -26 + 16 = -10
2p = -10

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

Simplifying
p = -5

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