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Simplifying 5w + 9k + -2w + 4 + -1k = 0 Reorder the terms: 4 + 9k + -1k + 5w + -2w = 0 Combine like terms: 9k + -1k = 8k 4 + 8k + 5w + -2w = 0 Combine like terms: 5w + -2w = 3w 4 + 8k + 3w = 0 Solving 4 + 8k + 3w = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8k + -4 + 3w = 0 + -4 Reorder the terms: 4 + -4 + 8k + 3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8k + 3w = 0 + -4 8k + 3w = 0 + -4 Combine like terms: 0 + -4 = -4 8k + 3w = -4 Add '-3w' to each side of the equation. 8k + 3w + -3w = -4 + -3w Combine like terms: 3w + -3w = 0 8k + 0 = -4 + -3w 8k = -4 + -3w Divide each side by '8'. k = -0.5 + -0.375w Simplifying k = -0.5 + -0.375w
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