2p+(-3)(1-p)=-2p+2(1-p)

Solution for 2p+(-3)(1-p)=-2p+2(1-p) equation:

Simplifying
2p + (-3)(1 + -1p) = -2p + 2(1 + -1p)
2p + (1 * -3 + -1p * -3) = -2p + 2(1 + -1p)
2p + (-3 + 3p) = -2p + 2(1 + -1p)

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

Combine like terms: 2p + 3p = 5p
-3 + 5p = -2p + 2(1 + -1p)
-3 + 5p = -2p + (1 * 2 + -1p * 2)
-3 + 5p = -2p + (2 + -2p)

Reorder the terms:
-3 + 5p = 2 + -2p + -2p

Combine like terms: -2p + -2p = -4p
-3 + 5p = 2 + -4p

Solving
-3 + 5p = 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.
-3 + 5p + 4p = 2 + -4p + 4p

Combine like terms: 5p + 4p = 9p
-3 + 9p = 2 + -4p + 4p

Combine like terms: -4p + 4p = 0
-3 + 9p = 2 + 0
-3 + 9p = 2

Add '3' to each side of the equation.
-3 + 3 + 9p = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 9p = 2 + 3
9p = 2 + 3

Combine like terms: 2 + 3 = 5
9p = 5

Divide each side by '9'.
p = 0.5555555556

Simplifying
p = 0.5555555556