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

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

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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-6'.
p = 0.3333333333

Simplifying
p = 0.3333333333