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Simplifying 3(4m + -3k) + -1(5k + -1m) = 0 Reorder the terms: 3(-3k + 4m) + -1(5k + -1m) = 0 (-3k * 3 + 4m * 3) + -1(5k + -1m) = 0 (-9k + 12m) + -1(5k + -1m) = 0 -9k + 12m + (5k * -1 + -1m * -1) = 0 -9k + 12m + (-5k + 1m) = 0 Reorder the terms: -9k + -5k + 12m + 1m = 0 Combine like terms: -9k + -5k = -14k -14k + 12m + 1m = 0 Combine like terms: 12m + 1m = 13m -14k + 13m = 0 Solving -14k + 13m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13m' to each side of the equation. -14k + 13m + -13m = 0 + -13m Combine like terms: 13m + -13m = 0 -14k + 0 = 0 + -13m -14k = 0 + -13m Remove the zero: -14k = -13m Divide each side by '-14'. k = 0.9285714286m Simplifying k = 0.9285714286m
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