-14p-6(2-4p)=5(p-6)-22

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Solution for -14p-6(2-4p)=5(p-6)-22 equation:


Simplifying
-14p + -6(2 + -4p) = 5(p + -6) + -22
-14p + (2 * -6 + -4p * -6) = 5(p + -6) + -22
-14p + (-12 + 24p) = 5(p + -6) + -22

Reorder the terms:
-12 + -14p + 24p = 5(p + -6) + -22

Combine like terms: -14p + 24p = 10p
-12 + 10p = 5(p + -6) + -22

Reorder the terms:
-12 + 10p = 5(-6 + p) + -22
-12 + 10p = (-6 * 5 + p * 5) + -22
-12 + 10p = (-30 + 5p) + -22

Reorder the terms:
-12 + 10p = -30 + -22 + 5p

Combine like terms: -30 + -22 = -52
-12 + 10p = -52 + 5p

Solving
-12 + 10p = -52 + 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.
-12 + 10p + -5p = -52 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-12 + 5p = -52 + 5p + -5p

Combine like terms: 5p + -5p = 0
-12 + 5p = -52 + 0
-12 + 5p = -52

Add '12' to each side of the equation.
-12 + 12 + 5p = -52 + 12

Combine like terms: -12 + 12 = 0
0 + 5p = -52 + 12
5p = -52 + 12

Combine like terms: -52 + 12 = -40
5p = -40

Divide each side by '5'.
p = -8

Simplifying
p = -8

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