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Simplifying 0.29(14q + 3.5) + -3q = 9 Reorder the terms: 0.29(3.5 + 14q) + -3q = 9 (3.5 * 0.29 + 14q * 0.29) + -3q = 9 (1.015 + 4.06q) + -3q = 9 Combine like terms: 4.06q + -3q = 1.06q 1.015 + 1.06q = 9 Solving 1.015 + 1.06q = 9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.015' to each side of the equation. 1.015 + -1.015 + 1.06q = 9 + -1.015 Combine like terms: 1.015 + -1.015 = 0.000 0.000 + 1.06q = 9 + -1.015 1.06q = 9 + -1.015 Combine like terms: 9 + -1.015 = 7.985 1.06q = 7.985 Divide each side by '1.06'. q = 7.533018868 Simplifying q = 7.533018868
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