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Simplifying sqrt(7m + 8) + -3 = 7 Reorder the terms: qrst(8 + 7m) + -3 = 7 (8 * qrst + 7m * qrst) + -3 = 7 Reorder the terms: (7mqrst + 8qrst) + -3 = 7 (7mqrst + 8qrst) + -3 = 7 Reorder the terms: -3 + 7mqrst + 8qrst = 7 Solving -3 + 7mqrst + 8qrst = 7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 7mqrst + 3 + 8qrst = 7 + 3 Reorder the terms: -3 + 3 + 7mqrst + 8qrst = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 7mqrst + 8qrst = 7 + 3 7mqrst + 8qrst = 7 + 3 Combine like terms: 7 + 3 = 10 7mqrst + 8qrst = 10 Add '-8qrst' to each side of the equation. 7mqrst + 8qrst + -8qrst = 10 + -8qrst Combine like terms: 8qrst + -8qrst = 0 7mqrst + 0 = 10 + -8qrst 7mqrst = 10 + -8qrst Divide each side by '7qrst'. m = 1.428571429q-1r-1s-1t-1 + -1.142857143 Simplifying m = 1.428571429q-1r-1s-1t-1 + -1.142857143 Reorder the terms: m = -1.142857143 + 1.428571429q-1r-1s-1t-1
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