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Simplifying 6w + 5k + -3w + 6 + -1k = 0 Reorder the terms: 6 + 5k + -1k + 6w + -3w = 0 Combine like terms: 5k + -1k = 4k 6 + 4k + 6w + -3w = 0 Combine like terms: 6w + -3w = 3w 6 + 4k + 3w = 0 Solving 6 + 4k + 3w = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4k + -6 + 3w = 0 + -6 Reorder the terms: 6 + -6 + 4k + 3w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4k + 3w = 0 + -6 4k + 3w = 0 + -6 Combine like terms: 0 + -6 = -6 4k + 3w = -6 Add '-3w' to each side of the equation. 4k + 3w + -3w = -6 + -3w Combine like terms: 3w + -3w = 0 4k + 0 = -6 + -3w 4k = -6 + -3w Divide each side by '4'. k = -1.5 + -0.75w Simplifying k = -1.5 + -0.75w
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