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Simplifying 0.25q + 0.1(4 + q) + 0.05 * 2 + 2(4 + -1q) = 6.3 0.25q + (4 * 0.1 + q * 0.1) + 0.05 * 2 + 2(4 + -1q) = 6.3 0.25q + (0.4 + 0.1q) + 0.05 * 2 + 2(4 + -1q) = 6.3 Multiply 0.05 * 2 0.25q + 0.4 + 0.1q + 0.1 + 2(4 + -1q) = 6.3 0.25q + 0.4 + 0.1q + 0.1 + (4 * 2 + -1q * 2) = 6.3 0.25q + 0.4 + 0.1q + 0.1 + (8 + -2q) = 6.3 Reorder the terms: 0.4 + 0.1 + 8 + 0.25q + 0.1q + -2q = 6.3 Combine like terms: 0.4 + 0.1 = 0.5 0.5 + 8 + 0.25q + 0.1q + -2q = 6.3 Combine like terms: 0.5 + 8 = 8.5 8.5 + 0.25q + 0.1q + -2q = 6.3 Combine like terms: 0.25q + 0.1q = 0.35q 8.5 + 0.35q + -2q = 6.3 Combine like terms: 0.35q + -2q = -1.65q 8.5 + -1.65q = 6.3 Solving 8.5 + -1.65q = 6.3 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -8.5 + -1.65q = 6.3 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -1.65q = 6.3 + -8.5 -1.65q = 6.3 + -8.5 Combine like terms: 6.3 + -8.5 = -2.2 -1.65q = -2.2 Divide each side by '-1.65'. q = 1.333333333 Simplifying q = 1.333333333
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