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

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

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

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

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

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

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

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

Solving for variable 'p'.

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

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

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

Combine like terms: -3p + 3p = 0
-1 + 6p = 2 + 0
-1 + 6p = 2

Add '1' to each side of the equation.
-1 + 1 + 6p = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 6p = 2 + 1
6p = 2 + 1

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

Divide each side by '6'.
p = 0.5

Simplifying
p = 0.5