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Simplifying q = 5 + -0.5(5 + -0.5q) q = 5 + (5 * -0.5 + -0.5q * -0.5) q = 5 + (-2.5 + 0.25q) Combine like terms: 5 + -2.5 = 2.5 q = 2.5 + 0.25q Solving q = 2.5 + 0.25q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.25q' to each side of the equation. q + -0.25q = 2.5 + 0.25q + -0.25q Combine like terms: q + -0.25q = 0.75q 0.75q = 2.5 + 0.25q + -0.25q Combine like terms: 0.25q + -0.25q = 0.00 0.75q = 2.5 + 0.00 0.75q = 2.5 Divide each side by '0.75'. q = 3.333333333 Simplifying q = 3.333333333
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