3q-9=12-16q

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Solution for 3q-9=12-16q equation:


Simplifying
3q + -9 = 12 + -16q

Reorder the terms:
-9 + 3q = 12 + -16q

Solving
-9 + 3q = 12 + -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.
-9 + 3q + 16q = 12 + -16q + 16q

Combine like terms: 3q + 16q = 19q
-9 + 19q = 12 + -16q + 16q

Combine like terms: -16q + 16q = 0
-9 + 19q = 12 + 0
-9 + 19q = 12

Add '9' to each side of the equation.
-9 + 9 + 19q = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 19q = 12 + 9
19q = 12 + 9

Combine like terms: 12 + 9 = 21
19q = 21

Divide each side by '19'.
q = 1.105263158

Simplifying
q = 1.105263158

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