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Simplifying 0.25q + 0.1(3q) + 0.05(3q + -5) = 1.85 Remove parenthesis around (3q) 0.25q + 0.1 * 3q + 0.05(3q + -5) = 1.85 Multiply 0.1 * 3 0.25q + 0.3q + 0.05(3q + -5) = 1.85 Reorder the terms: 0.25q + 0.3q + 0.05(-5 + 3q) = 1.85 0.25q + 0.3q + (-5 * 0.05 + 3q * 0.05) = 1.85 0.25q + 0.3q + (-0.25 + 0.15q) = 1.85 Reorder the terms: -0.25 + 0.25q + 0.3q + 0.15q = 1.85 Combine like terms: 0.25q + 0.3q = 0.55q -0.25 + 0.55q + 0.15q = 1.85 Combine like terms: 0.55q + 0.15q = 0.7q -0.25 + 0.7q = 1.85 Solving -0.25 + 0.7q = 1.85 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + 0.7q = 1.85 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 0.7q = 1.85 + 0.25 0.7q = 1.85 + 0.25 Combine like terms: 1.85 + 0.25 = 2.1 0.7q = 2.1 Divide each side by '0.7'. q = 3 Simplifying q = 3
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