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Simplifying (12k + 3w) + (6k + 4w) = 0 Remove parenthesis around (12k + 3w) 12k + 3w + (6k + 4w) = 0 Remove parenthesis around (6k + 4w) 12k + 3w + 6k + 4w = 0 Reorder the terms: 12k + 6k + 3w + 4w = 0 Combine like terms: 12k + 6k = 18k 18k + 3w + 4w = 0 Combine like terms: 3w + 4w = 7w 18k + 7w = 0 Solving 18k + 7w = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7w' to each side of the equation. 18k + 7w + -7w = 0 + -7w Combine like terms: 7w + -7w = 0 18k + 0 = 0 + -7w 18k = 0 + -7w Remove the zero: 18k = -7w Divide each side by '18'. k = -0.3888888889w Simplifying k = -0.3888888889w
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