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Simplifying 9q + 14 + 3(q + -8) = 7 Reorder the terms: 9q + 14 + 3(-8 + q) = 7 9q + 14 + (-8 * 3 + q * 3) = 7 9q + 14 + (-24 + 3q) = 7 Reorder the terms: 14 + -24 + 9q + 3q = 7 Combine like terms: 14 + -24 = -10 -10 + 9q + 3q = 7 Combine like terms: 9q + 3q = 12q -10 + 12q = 7 Solving -10 + 12q = 7 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 12q = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 12q = 7 + 10 12q = 7 + 10 Combine like terms: 7 + 10 = 17 12q = 17 Divide each side by '12'. q = 1.416666667 Simplifying q = 1.416666667
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