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Simplifying 78 + -1(Q + 78 + -4Q) = 78 + -4Q Reorder the terms: 78 + -1(78 + Q + -4Q) = 78 + -4Q Combine like terms: Q + -4Q = -3Q 78 + -1(78 + -3Q) = 78 + -4Q 78 + (78 * -1 + -3Q * -1) = 78 + -4Q 78 + (-78 + 3Q) = 78 + -4Q Combine like terms: 78 + -78 = 0 0 + 3Q = 78 + -4Q 3Q = 78 + -4Q Solving 3Q = 78 + -4Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '4Q' to each side of the equation. 3Q + 4Q = 78 + -4Q + 4Q Combine like terms: 3Q + 4Q = 7Q 7Q = 78 + -4Q + 4Q Combine like terms: -4Q + 4Q = 0 7Q = 78 + 0 7Q = 78 Divide each side by '7'. Q = 11.14285714 Simplifying Q = 11.14285714
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