2q+(-1)(1-q)=-1q+2(1-q)

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

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

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

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

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

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

Solving
-1 + 3q = 2 + -3q

Solving for variable 'q'.

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

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

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

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

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

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

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

Divide each side by '6'.
q = 0.5

Simplifying
q = 0.5