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Simplifying q = 159 + -0.50[159 + -0.50q] q = 159 + [159 * -0.50 + -0.50q * -0.50] q = 159 + [-79.5 + 0.25q] Combine like terms: 159 + -79.5 = 79.5 q = 79.5 + 0.25q Solving q = 79.5 + 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 = 79.5 + 0.25q + -0.25q Combine like terms: q + -0.25q = 0.75q 0.75q = 79.5 + 0.25q + -0.25q Combine like terms: 0.25q + -0.25q = 0.00 0.75q = 79.5 + 0.00 0.75q = 79.5 Divide each side by '0.75'. q = 106 Simplifying q = 106
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