2p+(-2)(1-p)=-3p+1(1-p)

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


Simplifying
2p + (-2)(1 + -1p) = -3p + 1(1 + -1p)
2p + (1 * -2 + -1p * -2) = -3p + 1(1 + -1p)
2p + (-2 + 2p) = -3p + 1(1 + -1p)

Reorder the terms:
-2 + 2p + 2p = -3p + 1(1 + -1p)

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

Reorder the terms:
-2 + 4p = 1 + -3p + -1p

Combine like terms: -3p + -1p = -4p
-2 + 4p = 1 + -4p

Solving
-2 + 4p = 1 + -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.
-2 + 4p + 4p = 1 + -4p + 4p

Combine like terms: 4p + 4p = 8p
-2 + 8p = 1 + -4p + 4p

Combine like terms: -4p + 4p = 0
-2 + 8p = 1 + 0
-2 + 8p = 1

Add '2' to each side of the equation.
-2 + 2 + 8p = 1 + 2

Combine like terms: -2 + 2 = 0
0 + 8p = 1 + 2
8p = 1 + 2

Combine like terms: 1 + 2 = 3
8p = 3

Divide each side by '8'.
p = 0.375

Simplifying
p = 0.375

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