9q-(q-6)=2q+(q+1)

Solution for 9q-(q-6)=2q+(q+1) equation:

Simplifying
9q + -1(q + -6) = 2q + (q + 1)

Reorder the terms:
9q + -1(-6 + q) = 2q + (q + 1)
9q + (-6 * -1 + q * -1) = 2q + (q + 1)
9q + (6 + -1q) = 2q + (q + 1)

Reorder the terms:
6 + 9q + -1q = 2q + (q + 1)

Combine like terms: 9q + -1q = 8q
6 + 8q = 2q + (q + 1)

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

Remove parenthesis around (1 + q)
6 + 8q = 2q + 1 + q

Reorder the terms:
6 + 8q = 1 + 2q + q

Combine like terms: 2q + q = 3q
6 + 8q = 1 + 3q

Solving
6 + 8q = 1 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
6 + 8q + -3q = 1 + 3q + -3q

Combine like terms: 8q + -3q = 5q
6 + 5q = 1 + 3q + -3q

Combine like terms: 3q + -3q = 0
6 + 5q = 1 + 0
6 + 5q = 1

Add '-6' to each side of the equation.
6 + -6 + 5q = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 5q = 1 + -6
5q = 1 + -6

Combine like terms: 1 + -6 = -5
5q = -5

Divide each side by '5'.
q = -1

Simplifying
q = -1