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Simplifying k + 3 + 2n = 4n + -5 + n Reorder the terms: 3 + k + 2n = 4n + -5 + n Reorder the terms: 3 + k + 2n = -5 + 4n + n Combine like terms: 4n + n = 5n 3 + k + 2n = -5 + 5n Solving 3 + k + 2n = -5 + 5n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + k + -3 + 2n = -5 + -3 + 5n Reorder the terms: 3 + -3 + k + 2n = -5 + -3 + 5n Combine like terms: 3 + -3 = 0 0 + k + 2n = -5 + -3 + 5n k + 2n = -5 + -3 + 5n Combine like terms: -5 + -3 = -8 k + 2n = -8 + 5n Add '-2n' to each side of the equation. k + 2n + -2n = -8 + 5n + -2n Combine like terms: 2n + -2n = 0 k + 0 = -8 + 5n + -2n k = -8 + 5n + -2n Combine like terms: 5n + -2n = 3n k = -8 + 3n Simplifying k = -8 + 3n
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