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Simplifying q = 96 + -0.5(96 + -0.5q) q = 96 + (96 * -0.5 + -0.5q * -0.5) q = 96 + (-48 + 0.25q) Combine like terms: 96 + -48 = 48 q = 48 + 0.25q Solving q = 48 + 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 = 48 + 0.25q + -0.25q Combine like terms: q + -0.25q = 0.75q 0.75q = 48 + 0.25q + -0.25q Combine like terms: 0.25q + -0.25q = 0.00 0.75q = 48 + 0.00 0.75q = 48 Divide each side by '0.75'. q = 64 Simplifying q = 64
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