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

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

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

Reorder the terms for easier multiplication:
2p + -1(1 + -1p) = -2p + (1 + -1p)(4)
2p + (1 * -1 + -1p * -1) = -2p + (1 + -1p)(4)
2p + (-1 + 1p) = -2p + (1 + -1p)(4)

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

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

Reorder the terms for easier multiplication:
-1 + 3p = -2p + 4(1 + -1p)
-1 + 3p = -2p + (1 * 4 + -1p * 4)
-1 + 3p = -2p + (4 + -4p)

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

Combine like terms: -2p + -4p = -6p
-1 + 3p = 4 + -6p

Solving
-1 + 3p = 4 + -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.
-1 + 3p + 6p = 4 + -6p + 6p

Combine like terms: 3p + 6p = 9p
-1 + 9p = 4 + -6p + 6p

Combine like terms: -6p + 6p = 0
-1 + 9p = 4 + 0
-1 + 9p = 4

Add '1' to each side of the equation.
-1 + 1 + 9p = 4 + 1

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

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

Divide each side by '9'.
p = 0.5555555556

Simplifying
p = 0.5555555556