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Simplifying 3(2k + n) + 5m = 0 (2k * 3 + n * 3) + 5m = 0 (6k + 3n) + 5m = 0 Reorder the terms: 6k + 5m + 3n = 0 Solving 6k + 5m + 3n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5m' to each side of the equation. 6k + 5m + -5m + 3n = 0 + -5m Combine like terms: 5m + -5m = 0 6k + 0 + 3n = 0 + -5m 6k + 3n = 0 + -5m Remove the zero: 6k + 3n = -5m Add '-3n' to each side of the equation. 6k + 3n + -3n = -5m + -3n Combine like terms: 3n + -3n = 0 6k + 0 = -5m + -3n 6k = -5m + -3n Divide each side by '6'. k = -0.8333333333m + -0.5n Simplifying k = -0.8333333333m + -0.5n
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