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Simplifying 0.05(84 + -1q) + 0.25q = 17.80 (84 * 0.05 + -1q * 0.05) + 0.25q = 17.80 (4.2 + -0.05q) + 0.25q = 17.80 Combine like terms: -0.05q + 0.25q = 0.2q 4.2 + 0.2q = 17.80 Solving 4.2 + 0.2q = 17.80 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.2q = 17.80 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.2q = 17.80 + -4.2 0.2q = 17.80 + -4.2 Combine like terms: 17.80 + -4.2 = 13.6 0.2q = 13.6 Divide each side by '0.2'. q = 68 Simplifying q = 68
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