3(q-8)-14=10-9q

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Solution for 3(q-8)-14=10-9q equation: 


Simplifying
3(q + -8) + -14 = 10 + -9q

Reorder the terms:
3(-8 + q) + -14 = 10 + -9q
(-8 * 3 + q * 3) + -14 = 10 + -9q
(-24 + 3q) + -14 = 10 + -9q

Reorder the terms:
-24 + -14 + 3q = 10 + -9q

Combine like terms: -24 + -14 = -38
-38 + 3q = 10 + -9q

Solving
-38 + 3q = 10 + -9q

Solving for variable 'q'.

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

Add '9q' to each side of the equation.
-38 + 3q + 9q = 10 + -9q + 9q

Combine like terms: 3q + 9q = 12q
-38 + 12q = 10 + -9q + 9q

Combine like terms: -9q + 9q = 0
-38 + 12q = 10 + 0
-38 + 12q = 10

Add '38' to each side of the equation.
-38 + 38 + 12q = 10 + 38

Combine like terms: -38 + 38 = 0
0 + 12q = 10 + 38
12q = 10 + 38

Combine like terms: 10 + 38 = 48
12q = 48

Divide each side by '12'.
q = 4

Simplifying
q = 4

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