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Simplifying sqrt(3k + -11) = sqrt(5 + -1k) Reorder the terms: qrst(-11 + 3k) = sqrt(5 + -1k) (-11 * qrst + 3k * qrst) = sqrt(5 + -1k) Reorder the terms: (3kqrst + -11qrst) = sqrt(5 + -1k) (3kqrst + -11qrst) = sqrt(5 + -1k) 3kqrst + -11qrst = (5 * qrst + -1k * qrst) Reorder the terms: 3kqrst + -11qrst = (-1kqrst + 5qrst) 3kqrst + -11qrst = (-1kqrst + 5qrst) Solving 3kqrst + -11qrst = -1kqrst + 5qrst Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'kqrst' to each side of the equation. 3kqrst + kqrst + -11qrst = -1kqrst + kqrst + 5qrst Combine like terms: 3kqrst + kqrst = 4kqrst 4kqrst + -11qrst = -1kqrst + kqrst + 5qrst Combine like terms: -1kqrst + kqrst = 0 4kqrst + -11qrst = 0 + 5qrst 4kqrst + -11qrst = 5qrst Add '11qrst' to each side of the equation. 4kqrst + -11qrst + 11qrst = 5qrst + 11qrst Combine like terms: -11qrst + 11qrst = 0 4kqrst + 0 = 5qrst + 11qrst 4kqrst = 5qrst + 11qrst Combine like terms: 5qrst + 11qrst = 16qrst 4kqrst = 16qrst Divide each side by '4qrst'. k = 4 Simplifying k = 4
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