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Simplifying 0.28(14q + 3.5) + -3q = 9 Reorder the terms: 0.28(3.5 + 14q) + -3q = 9 (3.5 * 0.28 + 14q * 0.28) + -3q = 9 (0.98 + 3.92q) + -3q = 9 Combine like terms: 3.92q + -3q = 0.92q 0.98 + 0.92q = 9 Solving 0.98 + 0.92q = 9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.98' to each side of the equation. 0.98 + -0.98 + 0.92q = 9 + -0.98 Combine like terms: 0.98 + -0.98 = 0.00 0.00 + 0.92q = 9 + -0.98 0.92q = 9 + -0.98 Combine like terms: 9 + -0.98 = 8.02 0.92q = 8.02 Divide each side by '0.92'. q = 8.717391304 Simplifying q = 8.717391304
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