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Simplifying 3Q + -2(1 + -1Q) = -2Q + 5(1 + -1Q) 3Q + (1 * -2 + -1Q * -2) = -2Q + 5(1 + -1Q) 3Q + (-2 + 2Q) = -2Q + 5(1 + -1Q) Reorder the terms: -2 + 3Q + 2Q = -2Q + 5(1 + -1Q) Combine like terms: 3Q + 2Q = 5Q -2 + 5Q = -2Q + 5(1 + -1Q) -2 + 5Q = -2Q + (1 * 5 + -1Q * 5) -2 + 5Q = -2Q + (5 + -5Q) Reorder the terms: -2 + 5Q = 5 + -2Q + -5Q Combine like terms: -2Q + -5Q = -7Q -2 + 5Q = 5 + -7Q Solving -2 + 5Q = 5 + -7Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '7Q' to each side of the equation. -2 + 5Q + 7Q = 5 + -7Q + 7Q Combine like terms: 5Q + 7Q = 12Q -2 + 12Q = 5 + -7Q + 7Q Combine like terms: -7Q + 7Q = 0 -2 + 12Q = 5 + 0 -2 + 12Q = 5 Add '2' to each side of the equation. -2 + 2 + 12Q = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 12Q = 5 + 2 12Q = 5 + 2 Combine like terms: 5 + 2 = 7 12Q = 7 Divide each side by '12'. Q = 0.5833333333 Simplifying Q = 0.5833333333
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