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Simplifying sqrt(3m + 2) = sqrt(8m + 3) Reorder the terms: qrst(2 + 3m) = sqrt(8m + 3) (2 * qrst + 3m * qrst) = sqrt(8m + 3) Reorder the terms: (3mqrst + 2qrst) = sqrt(8m + 3) (3mqrst + 2qrst) = sqrt(8m + 3) Reorder the terms: 3mqrst + 2qrst = qrst(3 + 8m) 3mqrst + 2qrst = (3 * qrst + 8m * qrst) Reorder the terms: 3mqrst + 2qrst = (8mqrst + 3qrst) 3mqrst + 2qrst = (8mqrst + 3qrst) Solving 3mqrst + 2qrst = 8mqrst + 3qrst Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8mqrst' to each side of the equation. 3mqrst + -8mqrst + 2qrst = 8mqrst + -8mqrst + 3qrst Combine like terms: 3mqrst + -8mqrst = -5mqrst -5mqrst + 2qrst = 8mqrst + -8mqrst + 3qrst Combine like terms: 8mqrst + -8mqrst = 0 -5mqrst + 2qrst = 0 + 3qrst -5mqrst + 2qrst = 3qrst Add '-2qrst' to each side of the equation. -5mqrst + 2qrst + -2qrst = 3qrst + -2qrst Combine like terms: 2qrst + -2qrst = 0 -5mqrst + 0 = 3qrst + -2qrst -5mqrst = 3qrst + -2qrst Combine like terms: 3qrst + -2qrst = 1qrst -5mqrst = 1qrst Divide each side by '-5qrst'. m = -0.2 Simplifying m = -0.2
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