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Simplifying 5(3w + 2k + -1w) = 0 Reorder the terms: 5(2k + 3w + -1w) = 0 Combine like terms: 3w + -1w = 2w 5(2k + 2w) = 0 (2k * 5 + 2w * 5) = 0 (10k + 10w) = 0 Solving 10k + 10w = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10w' to each side of the equation. 10k + 10w + -10w = 0 + -10w Combine like terms: 10w + -10w = 0 10k + 0 = 0 + -10w 10k = 0 + -10w Remove the zero: 10k = -10w Divide each side by '10'. k = -1w Simplifying k = -1w
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