-5(-3-p)-4p=3(1-2p)-2

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Solution for -5(-3-p)-4p=3(1-2p)-2 equation: 


Simplifying
-5(-3 + -1p) + -4p = 3(1 + -2p) + -2
(-3 * -5 + -1p * -5) + -4p = 3(1 + -2p) + -2
(15 + 5p) + -4p = 3(1 + -2p) + -2

Combine like terms: 5p + -4p = 1p
15 + 1p = 3(1 + -2p) + -2
15 + 1p = (1 * 3 + -2p * 3) + -2
15 + 1p = (3 + -6p) + -2

Reorder the terms:
15 + 1p = 3 + -2 + -6p

Combine like terms: 3 + -2 = 1
15 + 1p = 1 + -6p

Solving
15 + 1p = 1 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
15 + 1p + 6p = 1 + -6p + 6p

Combine like terms: 1p + 6p = 7p
15 + 7p = 1 + -6p + 6p

Combine like terms: -6p + 6p = 0
15 + 7p = 1 + 0
15 + 7p = 1

Add '-15' to each side of the equation.
15 + -15 + 7p = 1 + -15

Combine like terms: 15 + -15 = 0
0 + 7p = 1 + -15
7p = 1 + -15

Combine like terms: 1 + -15 = -14
7p = -14

Divide each side by '7'.
p = -2

Simplifying
p = -2

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