-4p+1(1-p)=2p+-2(1-p)

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


Simplifying
-4p + 1(1 + -1p) = 2p + -2(1 + -1p)
-4p + (1 * 1 + -1p * 1) = 2p + -2(1 + -1p)
-4p + (1 + -1p) = 2p + -2(1 + -1p)

Reorder the terms:
1 + -4p + -1p = 2p + -2(1 + -1p)

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

Reorder the terms:
1 + -5p = -2 + 2p + 2p

Combine like terms: 2p + 2p = 4p
1 + -5p = -2 + 4p

Solving
1 + -5p = -2 + 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.
1 + -5p + -4p = -2 + 4p + -4p

Combine like terms: -5p + -4p = -9p
1 + -9p = -2 + 4p + -4p

Combine like terms: 4p + -4p = 0
1 + -9p = -2 + 0
1 + -9p = -2

Add '-1' to each side of the equation.
1 + -1 + -9p = -2 + -1

Combine like terms: 1 + -1 = 0
0 + -9p = -2 + -1
-9p = -2 + -1

Combine like terms: -2 + -1 = -3
-9p = -3

Divide each side by '-9'.
p = 0.3333333333

Simplifying
p = 0.3333333333

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