1q+0(1-q)=0q+2(1-q)

Solution for 1q+0(1-q)=0q+2(1-q) equation:

Simplifying
1q + 0(1 + -1q) = 0q + 2(1 + -1q)

Anything times zero is zero.
1q + 0(1 + -1q) = 0q + 2(1 + -1q)

Reorder the terms:
0 + 1q = 0q + 2(1 + -1q)
Remove the zero:
1q = 0q + 2(1 + -1q)

Anything times zero is zero.
1q = 0q + 2(1 + -1q)
1q = 0 + (1 * 2 + -1q * 2)
1q = 0 + (2 + -2q)

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

Solving
1q = 2 + -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.
1q + 2q = 2 + -2q + 2q

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

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

Divide each side by '3'.
q = 0.6666666667

Simplifying
q = 0.6666666667