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Simplifying 2k + m = 5k + n Solving 2k + m = 5k + n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 2k + -5k + m = 5k + -5k + n Combine like terms: 2k + -5k = -3k -3k + m = 5k + -5k + n Combine like terms: 5k + -5k = 0 -3k + m = 0 + n -3k + m = n Add '-1m' to each side of the equation. -3k + m + -1m = -1m + n Combine like terms: m + -1m = 0 -3k + 0 = -1m + n -3k = -1m + n Divide each side by '-3'. k = 0.3333333333m + -0.3333333333n Simplifying k = 0.3333333333m + -0.3333333333n
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