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Simplifying Q = 179.2 + -0.5(179 + -0.5Q) Q = 179.2 + (179 * -0.5 + -0.5Q * -0.5) Q = 179.2 + (-89.5 + 0.25Q) Combine like terms: 179.2 + -89.5 = 89.7 Q = 89.7 + 0.25Q Solving Q = 89.7 + 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 = 89.7 + 0.25Q + -0.25Q Combine like terms: Q + -0.25Q = 0.75Q 0.75Q = 89.7 + 0.25Q + -0.25Q Combine like terms: 0.25Q + -0.25Q = 0.00 0.75Q = 89.7 + 0.00 0.75Q = 89.7 Divide each side by '0.75'. Q = 119.6 Simplifying Q = 119.6
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