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Simplifying 3k + m = 9k + n Solving 3k + m = 9k + n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 3k + -9k + m = 9k + -9k + n Combine like terms: 3k + -9k = -6k -6k + m = 9k + -9k + n Combine like terms: 9k + -9k = 0 -6k + m = 0 + n -6k + m = n Add '-1m' to each side of the equation. -6k + m + -1m = -1m + n Combine like terms: m + -1m = 0 -6k + 0 = -1m + n -6k = -1m + n Divide each side by '-6'. k = 0.1666666667m + -0.1666666667n Simplifying k = 0.1666666667m + -0.1666666667n
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