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Simplifying -12m + k + 3n = 17m + 11n + 8 Reorder the terms: k + -12m + 3n = 17m + 11n + 8 Reorder the terms: k + -12m + 3n = 8 + 17m + 11n Solving k + -12m + 3n = 8 + 17m + 11n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12m' to each side of the equation. k + -12m + 12m + 3n = 8 + 17m + 12m + 11n Combine like terms: -12m + 12m = 0 k + 0 + 3n = 8 + 17m + 12m + 11n k + 3n = 8 + 17m + 12m + 11n Combine like terms: 17m + 12m = 29m k + 3n = 8 + 29m + 11n Add '-3n' to each side of the equation. k + 3n + -3n = 8 + 29m + 11n + -3n Combine like terms: 3n + -3n = 0 k + 0 = 8 + 29m + 11n + -3n k = 8 + 29m + 11n + -3n Combine like terms: 11n + -3n = 8n k = 8 + 29m + 8n Simplifying k = 8 + 29m + 8n
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