-6(4q-16)+3(-9+2q)=

Solution for -6(4q-16)+3(-9+2q)= equation:

Simplifying
-6(4q + -16) + 3(-9 + 2q) = 0

Reorder the terms:
-6(-16 + 4q) + 3(-9 + 2q) = 0
(-16 * -6 + 4q * -6) + 3(-9 + 2q) = 0
(96 + -24q) + 3(-9 + 2q) = 0
96 + -24q + (-9 * 3 + 2q * 3) = 0
96 + -24q + (-27 + 6q) = 0

Reorder the terms:
96 + -27 + -24q + 6q = 0

Combine like terms: 96 + -27 = 69
69 + -24q + 6q = 0

Combine like terms: -24q + 6q = -18q
69 + -18q = 0

Solving
69 + -18q = 0

Solving for variable 'q'.

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

Add '-69' to each side of the equation.
69 + -69 + -18q = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -18q = 0 + -69
-18q = 0 + -69

Combine like terms: 0 + -69 = -69
-18q = -69

Divide each side by '-18'.
q = 3.833333333

Simplifying
q = 3.833333333