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Simplifying 8Q + -4(Q + -2) = 2Q Reorder the terms: 8Q + -4(-2 + Q) = 2Q 8Q + (-2 * -4 + Q * -4) = 2Q 8Q + (8 + -4Q) = 2Q Reorder the terms: 8 + 8Q + -4Q = 2Q Combine like terms: 8Q + -4Q = 4Q 8 + 4Q = 2Q Solving 8 + 4Q = 2Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-2Q' to each side of the equation. 8 + 4Q + -2Q = 2Q + -2Q Combine like terms: 4Q + -2Q = 2Q 8 + 2Q = 2Q + -2Q Combine like terms: 2Q + -2Q = 0 8 + 2Q = 0 Add '-8' to each side of the equation. 8 + -8 + 2Q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2Q = 0 + -8 2Q = 0 + -8 Combine like terms: 0 + -8 = -8 2Q = -8 Divide each side by '2'. Q = -4 Simplifying Q = -4
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