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Simplifying 9q + -14 + 3(q + -8) = 0 Reorder the terms: 9q + -14 + 3(-8 + q) = 0 9q + -14 + (-8 * 3 + q * 3) = 0 9q + -14 + (-24 + 3q) = 0 Reorder the terms: -14 + -24 + 9q + 3q = 0 Combine like terms: -14 + -24 = -38 -38 + 9q + 3q = 0 Combine like terms: 9q + 3q = 12q -38 + 12q = 0 Solving -38 + 12q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 12q = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 12q = 0 + 38 12q = 0 + 38 Combine like terms: 0 + 38 = 38 12q = 38 Divide each side by '12'. q = 3.166666667 Simplifying q = 3.166666667
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