4q+2(1-q)=2q+6(1-q)

Solution for 4q+2(1-q)=2q+6(1-q) equation:

Simplifying
4q + 2(1 + -1q) = 2q + 6(1 + -1q)
4q + (1 * 2 + -1q * 2) = 2q + 6(1 + -1q)
4q + (2 + -2q) = 2q + 6(1 + -1q)

Reorder the terms:
2 + 4q + -2q = 2q + 6(1 + -1q)

Combine like terms: 4q + -2q = 2q
2 + 2q = 2q + 6(1 + -1q)
2 + 2q = 2q + (1 * 6 + -1q * 6)
2 + 2q = 2q + (6 + -6q)

Reorder the terms:
2 + 2q = 6 + 2q + -6q

Combine like terms: 2q + -6q = -4q
2 + 2q = 6 + -4q

Solving
2 + 2q = 6 + -4q

Solving for variable 'q'.

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

Add '4q' to each side of the equation.
2 + 2q + 4q = 6 + -4q + 4q

Combine like terms: 2q + 4q = 6q
2 + 6q = 6 + -4q + 4q

Combine like terms: -4q + 4q = 0
2 + 6q = 6 + 0
2 + 6q = 6

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

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

Combine like terms: 6 + -2 = 4
6q = 4

Divide each side by '6'.
q = 0.6666666667

Simplifying
q = 0.6666666667