3(q+6)+4(q-3)=

Solution for 3(q+6)+4(q-3)= equation:

Simplifying
3(q + 6) + 4(q + -3) = 0

Reorder the terms:
3(6 + q) + 4(q + -3) = 0
(6 * 3 + q * 3) + 4(q + -3) = 0
(18 + 3q) + 4(q + -3) = 0

Reorder the terms:
18 + 3q + 4(-3 + q) = 0
18 + 3q + (-3 * 4 + q * 4) = 0
18 + 3q + (-12 + 4q) = 0

Reorder the terms:
18 + -12 + 3q + 4q = 0

Combine like terms: 18 + -12 = 6
6 + 3q + 4q = 0

Combine like terms: 3q + 4q = 7q
6 + 7q = 0

Solving
6 + 7q = 0

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 + 7q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7q = 0 + -6
7q = 0 + -6

Combine like terms: 0 + -6 = -6
7q = -6

Divide each side by '7'.
q = -0.8571428571

Simplifying
q = -0.8571428571