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

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

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

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

Combine like terms: 2p + -2p = 0
2 + 0 = 2p + -2(1 + -1p)
2 = 2p + -2(1 + -1p)
2 = 2p + (1 * -2 + -1p * -2)
2 = 2p + (-2 + 2p)

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -4p = -2 + -2

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

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

Divide each side by '-4'.
p = 1

Simplifying
p = 1