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Simplifying w2 + 8w + k = 0 Reorder the terms: k + 8w + w2 = 0 Solving k + 8w + w2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8w' to each side of the equation. k + 8w + -8w + w2 = 0 + -8w Combine like terms: 8w + -8w = 0 k + 0 + w2 = 0 + -8w k + w2 = 0 + -8w Remove the zero: k + w2 = -8w Add '-1w2' to each side of the equation. k + w2 + -1w2 = -8w + -1w2 Combine like terms: w2 + -1w2 = 0 k + 0 = -8w + -1w2 k = -8w + -1w2 Simplifying k = -8w + -1w2
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