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Simplifying 1 = -1n + sqrt(7n + 25) Reorder the terms: 1 = -1n + qrst(25 + 7n) 1 = -1n + (25 * qrst + 7n * qrst) Reorder the terms: 1 = -1n + (7nqrst + 25qrst) 1 = -1n + (7nqrst + 25qrst) Solving 1 = -1n + 7nqrst + 25qrst Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 1 + n = -1n + 7nqrst + n + 25qrst Reorder the terms: 1 + n = -1n + n + 7nqrst + 25qrst Combine like terms: -1n + n = 0 1 + n = 0 + 7nqrst + 25qrst 1 + n = 7nqrst + 25qrst Add '-7nqrst' to each side of the equation. 1 + n + -7nqrst = 7nqrst + -7nqrst + 25qrst Combine like terms: 7nqrst + -7nqrst = 0 1 + n + -7nqrst = 0 + 25qrst 1 + n + -7nqrst = 25qrst Add '-1' to each side of the equation. 1 + n + -1 + -7nqrst = -1 + 25qrst Reorder the terms: 1 + -1 + n + -7nqrst = -1 + 25qrst Combine like terms: 1 + -1 = 0 0 + n + -7nqrst = -1 + 25qrst n + -7nqrst = -1 + 25qrst Reorder the terms: 1 + n + -7nqrst + -25qrst = -1 + 25qrst + 1 + -25qrst Reorder the terms: 1 + n + -7nqrst + -25qrst = -1 + 1 + 25qrst + -25qrst Combine like terms: -1 + 1 = 0 1 + n + -7nqrst + -25qrst = 0 + 25qrst + -25qrst 1 + n + -7nqrst + -25qrst = 25qrst + -25qrst Combine like terms: 25qrst + -25qrst = 0 1 + n + -7nqrst + -25qrst = 0 The solution to this equation could not be determined.
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