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Simplifying 4(2Q + 5) = 3(Q + 10) Reorder the terms: 4(5 + 2Q) = 3(Q + 10) (5 * 4 + 2Q * 4) = 3(Q + 10) (20 + 8Q) = 3(Q + 10) Reorder the terms: 20 + 8Q = 3(10 + Q) 20 + 8Q = (10 * 3 + Q * 3) 20 + 8Q = (30 + 3Q) Solving 20 + 8Q = 30 + 3Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-3Q' to each side of the equation. 20 + 8Q + -3Q = 30 + 3Q + -3Q Combine like terms: 8Q + -3Q = 5Q 20 + 5Q = 30 + 3Q + -3Q Combine like terms: 3Q + -3Q = 0 20 + 5Q = 30 + 0 20 + 5Q = 30 Add '-20' to each side of the equation. 20 + -20 + 5Q = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 5Q = 30 + -20 5Q = 30 + -20 Combine like terms: 30 + -20 = 10 5Q = 10 Divide each side by '5'. Q = 2 Simplifying Q = 2
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