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Simplifying 0.29(14q + 0.29) + -3q = 9 Reorder the terms: 0.29(0.29 + 14q) + -3q = 9 (0.29 * 0.29 + 14q * 0.29) + -3q = 9 (0.0841 + 4.06q) + -3q = 9 Combine like terms: 4.06q + -3q = 1.06q 0.0841 + 1.06q = 9 Solving 0.0841 + 1.06q = 9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.0841' to each side of the equation. 0.0841 + -0.0841 + 1.06q = 9 + -0.0841 Combine like terms: 0.0841 + -0.0841 = 0.0000 0.0000 + 1.06q = 9 + -0.0841 1.06q = 9 + -0.0841 Combine like terms: 9 + -0.0841 = 8.9159 1.06q = 8.9159 Divide each side by '1.06'. q = 8.411226415 Simplifying q = 8.411226415
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