-8p-3(5-6p)=5(p-3)-35

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Solution for -8p-3(5-6p)=5(p-3)-35 equation:


Simplifying
-8p + -3(5 + -6p) = 5(p + -3) + -35
-8p + (5 * -3 + -6p * -3) = 5(p + -3) + -35
-8p + (-15 + 18p) = 5(p + -3) + -35

Reorder the terms:
-15 + -8p + 18p = 5(p + -3) + -35

Combine like terms: -8p + 18p = 10p
-15 + 10p = 5(p + -3) + -35

Reorder the terms:
-15 + 10p = 5(-3 + p) + -35
-15 + 10p = (-3 * 5 + p * 5) + -35
-15 + 10p = (-15 + 5p) + -35

Reorder the terms:
-15 + 10p = -15 + -35 + 5p

Combine like terms: -15 + -35 = -50
-15 + 10p = -50 + 5p

Solving
-15 + 10p = -50 + 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.
-15 + 10p + -5p = -50 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-15 + 5p = -50 + 5p + -5p

Combine like terms: 5p + -5p = 0
-15 + 5p = -50 + 0
-15 + 5p = -50

Add '15' to each side of the equation.
-15 + 15 + 5p = -50 + 15

Combine like terms: -15 + 15 = 0
0 + 5p = -50 + 15
5p = -50 + 15

Combine like terms: -50 + 15 = -35
5p = -35

Divide each side by '5'.
p = -7

Simplifying
p = -7

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