5(1-p)-p=-6p+5(7+2p)

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Solution for 5(1-p)-p=-6p+5(7+2p) equation:


Simplifying
5(1 + -1p) + -1p = -6p + 5(7 + 2p)
(1 * 5 + -1p * 5) + -1p = -6p + 5(7 + 2p)
(5 + -5p) + -1p = -6p + 5(7 + 2p)

Combine like terms: -5p + -1p = -6p
5 + -6p = -6p + 5(7 + 2p)
5 + -6p = -6p + (7 * 5 + 2p * 5)
5 + -6p = -6p + (35 + 10p)

Reorder the terms:
5 + -6p = 35 + -6p + 10p

Combine like terms: -6p + 10p = 4p
5 + -6p = 35 + 4p

Solving
5 + -6p = 35 + 4p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-4p' to each side of the equation.
5 + -6p + -4p = 35 + 4p + -4p

Combine like terms: -6p + -4p = -10p
5 + -10p = 35 + 4p + -4p

Combine like terms: 4p + -4p = 0
5 + -10p = 35 + 0
5 + -10p = 35

Add '-5' to each side of the equation.
5 + -5 + -10p = 35 + -5

Combine like terms: 5 + -5 = 0
0 + -10p = 35 + -5
-10p = 35 + -5

Combine like terms: 35 + -5 = 30
-10p = 30

Divide each side by '-10'.
p = -3

Simplifying
p = -3

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