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Simplifying 0.285714285(14q + 3.5) + -3q = 9 Reorder the terms: 0.285714285(3.5 + 14q) + -3q = 9 (3.5 * 0.285714285 + 14q * 0.285714285) + -3q = 9 (0.9999999975 + 3.99999999q) + -3q = 9 Combine like terms: 3.99999999q + -3q = 0.99999999q 0.9999999975 + 0.99999999q = 9 Solving 0.9999999975 + 0.99999999q = 9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.9999999975' to each side of the equation. 0.9999999975 + -0.9999999975 + 0.99999999q = 9 + -0.9999999975 Combine like terms: 0.9999999975 + -0.9999999975 = 0.0000000000 0.0000000000 + 0.99999999q = 9 + -0.9999999975 0.99999999q = 9 + -0.9999999975 Combine like terms: 9 + -0.9999999975 = 8.0000000025 0.99999999q = 8.0000000025 Divide each side by '0.99999999'. q = 8.000000083 Simplifying q = 8.000000083
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