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Simplifying 8k + m = 3k + n Solving 8k + m = 3k + n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 8k + -3k + m = 3k + -3k + n Combine like terms: 8k + -3k = 5k 5k + m = 3k + -3k + n Combine like terms: 3k + -3k = 0 5k + m = 0 + n 5k + m = n Add '-1m' to each side of the equation. 5k + m + -1m = -1m + n Combine like terms: m + -1m = 0 5k + 0 = -1m + n 5k = -1m + n Divide each side by '5'. k = -0.2m + 0.2n Simplifying k = -0.2m + 0.2n
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