7q-(3q-6)=10

Solution for 7q-(3q-6)=10 equation:

Simplifying
7q + -1(3q + -6) = 10

Reorder the terms:
7q + -1(-6 + 3q) = 10
7q + (-6 * -1 + 3q * -1) = 10
7q + (6 + -3q) = 10

Reorder the terms:
6 + 7q + -3q = 10

Combine like terms: 7q + -3q = 4q
6 + 4q = 10

Solving
6 + 4q = 10

Solving for variable 'q'.

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

Add '-6' to each side of the equation.
6 + -6 + 4q = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4q = 10 + -6
4q = 10 + -6

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

Divide each side by '4'.
q = 1

Simplifying
q = 1