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Simplifying q + 0.25(1 + -1q) = 1 + -1q q + (1 * 0.25 + -1q * 0.25) = 1 + -1q q + (0.25 + -0.25q) = 1 + -1q Reorder the terms: 0.25 + q + -0.25q = 1 + -1q Combine like terms: q + -0.25q = 0.75q 0.25 + 0.75q = 1 + -1q Solving 0.25 + 0.75q = 1 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 0.25 + 0.75q + q = 1 + -1q + q Combine like terms: 0.75q + q = 1.75q 0.25 + 1.75q = 1 + -1q + q Combine like terms: -1q + q = 0 0.25 + 1.75q = 1 + 0 0.25 + 1.75q = 1 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 1.75q = 1 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 1.75q = 1 + -0.25 1.75q = 1 + -0.25 Combine like terms: 1 + -0.25 = 0.75 1.75q = 0.75 Divide each side by '1.75'. q = 0.4285714286 Simplifying q = 0.4285714286
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