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Simplifying 5m + (6k + 3m) = 0 Remove parenthesis around (6k + 3m) 5m + 6k + 3m = 0 Reorder the terms: 6k + 5m + 3m = 0 Combine like terms: 5m + 3m = 8m 6k + 8m = 0 Solving 6k + 8m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8m' to each side of the equation. 6k + 8m + -8m = 0 + -8m Combine like terms: 8m + -8m = 0 6k + 0 = 0 + -8m 6k = 0 + -8m Remove the zero: 6k = -8m Divide each side by '6'. k = -1.333333333m Simplifying k = -1.333333333m
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