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Simplifying 4(Q + 4) = 5(Q + 2) Reorder the terms: 4(4 + Q) = 5(Q + 2) (4 * 4 + Q * 4) = 5(Q + 2) (16 + 4Q) = 5(Q + 2) Reorder the terms: 16 + 4Q = 5(2 + Q) 16 + 4Q = (2 * 5 + Q * 5) 16 + 4Q = (10 + 5Q) Solving 16 + 4Q = 10 + 5Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-5Q' to each side of the equation. 16 + 4Q + -5Q = 10 + 5Q + -5Q Combine like terms: 4Q + -5Q = -1Q 16 + -1Q = 10 + 5Q + -5Q Combine like terms: 5Q + -5Q = 0 16 + -1Q = 10 + 0 16 + -1Q = 10 Add '-16' to each side of the equation. 16 + -16 + -1Q = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -1Q = 10 + -16 -1Q = 10 + -16 Combine like terms: 10 + -16 = -6 -1Q = -6 Divide each side by '-1'. Q = 6 Simplifying Q = 6
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