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Simplifying sqrt(7m + 3) = sqrt(3m + 5) Reorder the terms: qrst(3 + 7m) = sqrt(3m + 5) (3 * qrst + 7m * qrst) = sqrt(3m + 5) Reorder the terms: (7mqrst + 3qrst) = sqrt(3m + 5) (7mqrst + 3qrst) = sqrt(3m + 5) Reorder the terms: 7mqrst + 3qrst = qrst(5 + 3m) 7mqrst + 3qrst = (5 * qrst + 3m * qrst) Reorder the terms: 7mqrst + 3qrst = (3mqrst + 5qrst) 7mqrst + 3qrst = (3mqrst + 5qrst) Solving 7mqrst + 3qrst = 3mqrst + 5qrst Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3mqrst' to each side of the equation. 7mqrst + -3mqrst + 3qrst = 3mqrst + -3mqrst + 5qrst Combine like terms: 7mqrst + -3mqrst = 4mqrst 4mqrst + 3qrst = 3mqrst + -3mqrst + 5qrst Combine like terms: 3mqrst + -3mqrst = 0 4mqrst + 3qrst = 0 + 5qrst 4mqrst + 3qrst = 5qrst Add '-3qrst' to each side of the equation. 4mqrst + 3qrst + -3qrst = 5qrst + -3qrst Combine like terms: 3qrst + -3qrst = 0 4mqrst + 0 = 5qrst + -3qrst 4mqrst = 5qrst + -3qrst Combine like terms: 5qrst + -3qrst = 2qrst 4mqrst = 2qrst Divide each side by '4qrst'. m = 0.5 Simplifying m = 0.5
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