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Simplifying sqrt(2m + -3) = sqrt(m + 7) + -2 Reorder the terms: qrst(-3 + 2m) = sqrt(m + 7) + -2 (-3 * qrst + 2m * qrst) = sqrt(m + 7) + -2 Reorder the terms: (2mqrst + -3qrst) = sqrt(m + 7) + -2 (2mqrst + -3qrst) = sqrt(m + 7) + -2 Reorder the terms: 2mqrst + -3qrst = qrst(7 + m) + -2 2mqrst + -3qrst = (7 * qrst + m * qrst) + -2 Reorder the terms: 2mqrst + -3qrst = (mqrst + 7qrst) + -2 2mqrst + -3qrst = (mqrst + 7qrst) + -2 Reorder the terms: 2mqrst + -3qrst = -2 + mqrst + 7qrst Solving 2mqrst + -3qrst = -2 + mqrst + 7qrst Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1mqrst' to each side of the equation. 2mqrst + -1mqrst + -3qrst = -2 + mqrst + -1mqrst + 7qrst Combine like terms: 2mqrst + -1mqrst = 1mqrst 1mqrst + -3qrst = -2 + mqrst + -1mqrst + 7qrst Combine like terms: mqrst + -1mqrst = 0 1mqrst + -3qrst = -2 + 0 + 7qrst 1mqrst + -3qrst = -2 + 7qrst Add '3qrst' to each side of the equation. 1mqrst + -3qrst + 3qrst = -2 + 7qrst + 3qrst Combine like terms: -3qrst + 3qrst = 0 1mqrst + 0 = -2 + 7qrst + 3qrst 1mqrst = -2 + 7qrst + 3qrst Combine like terms: 7qrst + 3qrst = 10qrst 1mqrst = -2 + 10qrst Divide each side by '1qrst'. m = -2q-1r-1s-1t-1 + 10 Simplifying m = -2q-1r-1s-1t-1 + 10 Reorder the terms: m = 10 + -2q-1r-1s-1t-1
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