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

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


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

Reorder the terms:
-3 + 4p + 3p = 3p + -5(1 + -1p)

Combine like terms: 4p + 3p = 7p
-3 + 7p = 3p + -5(1 + -1p)
-3 + 7p = 3p + (1 * -5 + -1p * -5)
-3 + 7p = 3p + (-5 + 5p)

Reorder the terms:
-3 + 7p = -5 + 3p + 5p

Combine like terms: 3p + 5p = 8p
-3 + 7p = -5 + 8p

Solving
-3 + 7p = -5 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-3 + 7p + -8p = -5 + 8p + -8p

Combine like terms: 7p + -8p = -1p
-3 + -1p = -5 + 8p + -8p

Combine like terms: 8p + -8p = 0
-3 + -1p = -5 + 0
-3 + -1p = -5

Add '3' to each side of the equation.
-3 + 3 + -1p = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -1p = -5 + 3
-1p = -5 + 3

Combine like terms: -5 + 3 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2

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