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Simplifying Q = 24 + -0.5[24 + -0.5Q] Q = 24 + [24 * -0.5 + -0.5Q * -0.5] Q = 24 + [-12 + 0.25Q] Combine like terms: 24 + -12 = 12 Q = 12 + 0.25Q Solving Q = 12 + 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 = 12 + 0.25Q + -0.25Q Combine like terms: Q + -0.25Q = 0.75Q 0.75Q = 12 + 0.25Q + -0.25Q Combine like terms: 0.25Q + -0.25Q = 0.00 0.75Q = 12 + 0.00 0.75Q = 12 Divide each side by '0.75'. Q = 16 Simplifying Q = 16
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