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Simplifying 4w + 6k + 3w + 2 + k = 0 Reorder the terms: 2 + 6k + k + 4w + 3w = 0 Combine like terms: 6k + k = 7k 2 + 7k + 4w + 3w = 0 Combine like terms: 4w + 3w = 7w 2 + 7k + 7w = 0 Solving 2 + 7k + 7w = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 7k + -2 + 7w = 0 + -2 Reorder the terms: 2 + -2 + 7k + 7w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7k + 7w = 0 + -2 7k + 7w = 0 + -2 Combine like terms: 0 + -2 = -2 7k + 7w = -2 Add '-7w' to each side of the equation. 7k + 7w + -7w = -2 + -7w Combine like terms: 7w + -7w = 0 7k + 0 = -2 + -7w 7k = -2 + -7w Divide each side by '7'. k = -0.2857142857 + -1w Simplifying k = -0.2857142857 + -1w
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