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

Solution for 3(q)+(-1)(1-q)=(-4)q+2(1-q) equation:

Simplifying
3(q) + (-1)(1 + -1q) = (-4) * q + 2(1 + -1q)
3q + (1 * -1 + -1q * -1) = (-4) * q + 2(1 + -1q)
3q + (-1 + 1q) = (-4) * q + 2(1 + -1q)

Reorder the terms:
-1 + 3q + 1q = (-4) * q + 2(1 + -1q)

Combine like terms: 3q + 1q = 4q
-1 + 4q = (-4) * q + 2(1 + -1q)
-1 + 4q = -4q + (1 * 2 + -1q * 2)
-1 + 4q = -4q + (2 + -2q)

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

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

Solving
-1 + 4q = 2 + -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.
-1 + 4q + 6q = 2 + -6q + 6q

Combine like terms: 4q + 6q = 10q
-1 + 10q = 2 + -6q + 6q

Combine like terms: -6q + 6q = 0
-1 + 10q = 2 + 0
-1 + 10q = 2

Add '1' to each side of the equation.
-1 + 1 + 10q = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 10q = 2 + 1
10q = 2 + 1

Combine like terms: 2 + 1 = 3
10q = 3

Divide each side by '10'.
q = 0.3

Simplifying
q = 0.3