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

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

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

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

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

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

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

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

Solving for variable 'q'.

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

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

Combine like terms: 3q + 2q = 5q
-1 + 5q = 1 + -2q + 2q

Combine like terms: -2q + 2q = 0
-1 + 5q = 1 + 0
-1 + 5q = 1

Add '1' to each side of the equation.
-1 + 1 + 5q = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 5q = 1 + 1
5q = 1 + 1

Combine like terms: 1 + 1 = 2
5q = 2

Divide each side by '5'.
q = 0.4

Simplifying
q = 0.4