3(3q-2)=16q

Solution for 3(3q-2)=16q equation:

Simplifying
3(3q + -2) = 16q

Reorder the terms:
3(-2 + 3q) = 16q
(-2 * 3 + 3q * 3) = 16q
(-6 + 9q) = 16q

Solving
-6 + 9q = 16q

Solving for variable 'q'.

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

Add '-16q' to each side of the equation.
-6 + 9q + -16q = 16q + -16q

Combine like terms: 9q + -16q = -7q
-6 + -7q = 16q + -16q

Combine like terms: 16q + -16q = 0
-6 + -7q = 0

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