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Simplifying 4k + m = 9k + n Solving 4k + 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. 4k + -9k + m = 9k + -9k + n Combine like terms: 4k + -9k = -5k -5k + m = 9k + -9k + n Combine like terms: 9k + -9k = 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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