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Simplifying 0.365(14q + 3.5) + -3q = 9 Reorder the terms: 0.365(3.5 + 14q) + -3q = 9 (3.5 * 0.365 + 14q * 0.365) + -3q = 9 (1.2775 + 5.11q) + -3q = 9 Combine like terms: 5.11q + -3q = 2.11q 1.2775 + 2.11q = 9 Solving 1.2775 + 2.11q = 9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.2775' to each side of the equation. 1.2775 + -1.2775 + 2.11q = 9 + -1.2775 Combine like terms: 1.2775 + -1.2775 = 0.0000 0.0000 + 2.11q = 9 + -1.2775 2.11q = 9 + -1.2775 Combine like terms: 9 + -1.2775 = 7.7225 2.11q = 7.7225 Divide each side by '2.11'. q = 3.659952607 Simplifying q = 3.659952607
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