2p-2(5-4p)=5(p-5)-35

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Solution for 2p-2(5-4p)=5(p-5)-35 equation:


Simplifying
2p + -2(5 + -4p) = 5(p + -5) + -35
2p + (5 * -2 + -4p * -2) = 5(p + -5) + -35
2p + (-10 + 8p) = 5(p + -5) + -35

Reorder the terms:
-10 + 2p + 8p = 5(p + -5) + -35

Combine like terms: 2p + 8p = 10p
-10 + 10p = 5(p + -5) + -35

Reorder the terms:
-10 + 10p = 5(-5 + p) + -35
-10 + 10p = (-5 * 5 + p * 5) + -35
-10 + 10p = (-25 + 5p) + -35

Reorder the terms:
-10 + 10p = -25 + -35 + 5p

Combine like terms: -25 + -35 = -60
-10 + 10p = -60 + 5p

Solving
-10 + 10p = -60 + 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.
-10 + 10p + -5p = -60 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-10 + 5p = -60 + 5p + -5p

Combine like terms: 5p + -5p = 0
-10 + 5p = -60 + 0
-10 + 5p = -60

Add '10' to each side of the equation.
-10 + 10 + 5p = -60 + 10

Combine like terms: -10 + 10 = 0
0 + 5p = -60 + 10
5p = -60 + 10

Combine like terms: -60 + 10 = -50
5p = -50

Divide each side by '5'.
p = -10

Simplifying
p = -10

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