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Simplifying 0.05(2q) + 0.25q + 15.30 = 17.80 Remove parenthesis around (2q) 0.05 * 2q + 0.25q + 15.30 = 17.80 Multiply 0.05 * 2 0.1q + 0.25q + 15.30 = 17.80 Reorder the terms: 15.30 + 0.1q + 0.25q = 17.80 Combine like terms: 0.1q + 0.25q = 0.35q 15.30 + 0.35q = 17.80 Solving 15.30 + 0.35q = 17.80 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15.30' to each side of the equation. 15.30 + -15.30 + 0.35q = 17.80 + -15.30 Combine like terms: 15.30 + -15.30 = 0.00 0.00 + 0.35q = 17.80 + -15.30 0.35q = 17.80 + -15.30 Combine like terms: 17.80 + -15.30 = 2.5 0.35q = 2.5 Divide each side by '0.35'. q = 7.142857143 Simplifying q = 7.142857143
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