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Simplifying 9(11 + -1k) = 13(2m + -3) (11 * 9 + -1k * 9) = 13(2m + -3) (99 + -9k) = 13(2m + -3) Reorder the terms: 99 + -9k = 13(-3 + 2m) 99 + -9k = (-3 * 13 + 2m * 13) 99 + -9k = (-39 + 26m) Solving 99 + -9k = -39 + 26m Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + -9k = -39 + -99 + 26m Combine like terms: 99 + -99 = 0 0 + -9k = -39 + -99 + 26m -9k = -39 + -99 + 26m Combine like terms: -39 + -99 = -138 -9k = -138 + 26m Divide each side by '-9'. k = 15.33333333 + -2.888888889m Simplifying k = 15.33333333 + -2.888888889m
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