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Simplifying (k + 2) * 2w2 + 4w + 6 = 0 Reorder the terms: (2 + k) * 2w2 + 4w + 6 = 0 Reorder the terms for easier multiplication: 2w2(2 + k) + 4w + 6 = 0 (2 * 2w2 + k * 2w2) + 4w + 6 = 0 Reorder the terms: (2kw2 + 4w2) + 4w + 6 = 0 (2kw2 + 4w2) + 4w + 6 = 0 Reorder the terms: 6 + 2kw2 + 4w + 4w2 = 0 Solving 6 + 2kw2 + 4w + 4w2 = 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 + 2kw2 + 4w + -6 + 4w2 = 0 + -6 Reorder the terms: 6 + -6 + 2kw2 + 4w + 4w2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2kw2 + 4w + 4w2 = 0 + -6 2kw2 + 4w + 4w2 = 0 + -6 Combine like terms: 0 + -6 = -6 2kw2 + 4w + 4w2 = -6 Add '-4w' to each side of the equation. 2kw2 + 4w + -4w + 4w2 = -6 + -4w Combine like terms: 4w + -4w = 0 2kw2 + 0 + 4w2 = -6 + -4w 2kw2 + 4w2 = -6 + -4w Add '-4w2' to each side of the equation. 2kw2 + 4w2 + -4w2 = -6 + -4w + -4w2 Combine like terms: 4w2 + -4w2 = 0 2kw2 + 0 = -6 + -4w + -4w2 2kw2 = -6 + -4w + -4w2 Divide each side by '2w2'. k = -3w-2 + -2w-1 + -2 Simplifying k = -3w-2 + -2w-1 + -2 Reorder the terms: k = -2 + -3w-2 + -2w-1
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