-10p-4(4-5p)=6(p-3)-14

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Solution for -10p-4(4-5p)=6(p-3)-14 equation: 


Simplifying
-10p + -4(4 + -5p) = 6(p + -3) + -14
-10p + (4 * -4 + -5p * -4) = 6(p + -3) + -14
-10p + (-16 + 20p) = 6(p + -3) + -14

Reorder the terms:
-16 + -10p + 20p = 6(p + -3) + -14

Combine like terms: -10p + 20p = 10p
-16 + 10p = 6(p + -3) + -14

Reorder the terms:
-16 + 10p = 6(-3 + p) + -14
-16 + 10p = (-3 * 6 + p * 6) + -14
-16 + 10p = (-18 + 6p) + -14

Reorder the terms:
-16 + 10p = -18 + -14 + 6p

Combine like terms: -18 + -14 = -32
-16 + 10p = -32 + 6p

Solving
-16 + 10p = -32 + 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 + 10p + -6p = -32 + 6p + -6p

Combine like terms: 10p + -6p = 4p
-16 + 4p = -32 + 6p + -6p

Combine like terms: 6p + -6p = 0
-16 + 4p = -32 + 0
-16 + 4p = -32

Add '16' to each side of the equation.
-16 + 16 + 4p = -32 + 16

Combine like terms: -16 + 16 = 0
0 + 4p = -32 + 16
4p = -32 + 16

Combine like terms: -32 + 16 = -16
4p = -16

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

Simplifying
p = -4

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