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Simplifying 6k + m = 8k + n Solving 6k + m = 8k + n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 6k + -8k + m = 8k + -8k + n Combine like terms: 6k + -8k = -2k -2k + m = 8k + -8k + n Combine like terms: 8k + -8k = 0 -2k + m = 0 + n -2k + m = n Add '-1m' to each side of the equation. -2k + m + -1m = -1m + n Combine like terms: m + -1m = 0 -2k + 0 = -1m + n -2k = -1m + n Divide each side by '-2'. k = 0.5m + -0.5n Simplifying k = 0.5m + -0.5n
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