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Simplifying 42 + -0.125Q = 10 + 0.075Q Solving 42 + -0.125Q = 10 + 0.075Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-0.075Q' to each side of the equation. 42 + -0.125Q + -0.075Q = 10 + 0.075Q + -0.075Q Combine like terms: -0.125Q + -0.075Q = -0.2Q 42 + -0.2Q = 10 + 0.075Q + -0.075Q Combine like terms: 0.075Q + -0.075Q = 0.000 42 + -0.2Q = 10 + 0.000 42 + -0.2Q = 10 Add '-42' to each side of the equation. 42 + -42 + -0.2Q = 10 + -42 Combine like terms: 42 + -42 = 0 0 + -0.2Q = 10 + -42 -0.2Q = 10 + -42 Combine like terms: 10 + -42 = -32 -0.2Q = -32 Divide each side by '-0.2'. Q = 160 Simplifying Q = 160
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