-14p-4(2-6p)=5(p-6)-43

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Solution for -14p-4(2-6p)=5(p-6)-43 equation: 


Simplifying
-14p + -4(2 + -6p) = 5(p + -6) + -43
-14p + (2 * -4 + -6p * -4) = 5(p + -6) + -43
-14p + (-8 + 24p) = 5(p + -6) + -43

Reorder the terms:
-8 + -14p + 24p = 5(p + -6) + -43

Combine like terms: -14p + 24p = 10p
-8 + 10p = 5(p + -6) + -43

Reorder the terms:
-8 + 10p = 5(-6 + p) + -43
-8 + 10p = (-6 * 5 + p * 5) + -43
-8 + 10p = (-30 + 5p) + -43

Reorder the terms:
-8 + 10p = -30 + -43 + 5p

Combine like terms: -30 + -43 = -73
-8 + 10p = -73 + 5p

Solving
-8 + 10p = -73 + 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.
-8 + 10p + -5p = -73 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-8 + 5p = -73 + 5p + -5p

Combine like terms: 5p + -5p = 0
-8 + 5p = -73 + 0
-8 + 5p = -73

Add '8' to each side of the equation.
-8 + 8 + 5p = -73 + 8

Combine like terms: -8 + 8 = 0
0 + 5p = -73 + 8
5p = -73 + 8

Combine like terms: -73 + 8 = -65
5p = -65

Divide each side by '5'.
p = -13

Simplifying
p = -13

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