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

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

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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-6'.
p = 0.5

Simplifying
p = 0.5