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

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

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

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

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

Remove parenthesis around (1q)
2 + 2q = 2q + 2 * 1q

Multiply 2 * 1
2 + 2q = 2q + 2q

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

Solving
2 + 2q = 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 = 4q + -4q

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

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

Add '-2' to each side of the equation.
2 + -2 + -2q = 0 + -2

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

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

Divide each side by '-2'.
q = 1

Simplifying
q = 1