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

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


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

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

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

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

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

Solving
1 + -3p = -1 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
1 + -3p + -2p = -1 + 2p + -2p

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

Combine like terms: 2p + -2p = 0
1 + -5p = -1 + 0
1 + -5p = -1

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

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

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

Divide each side by '-5'.
p = 0.4

Simplifying
p = 0.4

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