12q+6(1-q)=2q+8(1-q)

Solution for 12q+6(1-q)=2q+8(1-q) equation:

Simplifying
12q + 6(1 + -1q) = 2q + 8(1 + -1q)
12q + (1 * 6 + -1q * 6) = 2q + 8(1 + -1q)
12q + (6 + -6q) = 2q + 8(1 + -1q)

Reorder the terms:
6 + 12q + -6q = 2q + 8(1 + -1q)

Combine like terms: 12q + -6q = 6q
6 + 6q = 2q + 8(1 + -1q)
6 + 6q = 2q + (1 * 8 + -1q * 8)
6 + 6q = 2q + (8 + -8q)

Reorder the terms:
6 + 6q = 8 + 2q + -8q

Combine like terms: 2q + -8q = -6q
6 + 6q = 8 + -6q

Solving
6 + 6q = 8 + -6q

Solving for variable 'q'.

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

Add '6q' to each side of the equation.
6 + 6q + 6q = 8 + -6q + 6q

Combine like terms: 6q + 6q = 12q
6 + 12q = 8 + -6q + 6q

Combine like terms: -6q + 6q = 0
6 + 12q = 8 + 0
6 + 12q = 8

Add '-6' to each side of the equation.
6 + -6 + 12q = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 12q = 8 + -6
12q = 8 + -6

Combine like terms: 8 + -6 = 2
12q = 2

Divide each side by '12'.
q = 0.1666666667

Simplifying
q = 0.1666666667