3(q+1)-(q+1)=6

Solution for 3(q+1)-(q+1)=6 equation:

Simplifying
3(q + 1) + -1(q + 1) = 6

Reorder the terms:
3(1 + q) + -1(q + 1) = 6
(1 * 3 + q * 3) + -1(q + 1) = 6
(3 + 3q) + -1(q + 1) = 6

Reorder the terms:
3 + 3q + -1(1 + q) = 6
3 + 3q + (1 * -1 + q * -1) = 6
3 + 3q + (-1 + -1q) = 6

Reorder the terms:
3 + -1 + 3q + -1q = 6

Combine like terms: 3 + -1 = 2
2 + 3q + -1q = 6

Combine like terms: 3q + -1q = 2q
2 + 2q = 6

Solving
2 + 2q = 6

Solving for variable 'q'.

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

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

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

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

Divide each side by '2'.
q = 2

Simplifying
q = 2