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Simplifying 0.2857142857(14q + 3.5) + -3q = 9 Reorder the terms: 0.2857142857(3.5 + 14q) + -3q = 9 (3.5 * 0.2857142857 + 14q * 0.2857142857) + -3q = 9 (1 + 4q) + -3q = 9 Combine like terms: 4q + -3q = 1q 1 + 1q = 9 Solving 1 + 1q = 9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1q = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1q = 9 + -1 1q = 9 + -1 Combine like terms: 9 + -1 = 8 1q = 8 Divide each side by '1'. q = 8 Simplifying q = 8
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