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Simplifying w2 + 4w + 4 = w2 + 8w + 16 Reorder the terms: 4 + 4w + w2 = w2 + 8w + 16 Reorder the terms: 4 + 4w + w2 = 16 + 8w + w2 Add '-1w2' to each side of the equation. 4 + 4w + w2 + -1w2 = 16 + 8w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 4 + 4w + 0 = 16 + 8w + w2 + -1w2 4 + 4w = 16 + 8w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 4 + 4w = 16 + 8w + 0 4 + 4w = 16 + 8w Solving 4 + 4w = 16 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 4 + 4w + -8w = 16 + 8w + -8w Combine like terms: 4w + -8w = -4w 4 + -4w = 16 + 8w + -8w Combine like terms: 8w + -8w = 0 4 + -4w = 16 + 0 4 + -4w = 16 Add '-4' to each side of the equation. 4 + -4 + -4w = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -4w = 16 + -4 -4w = 16 + -4 Combine like terms: 16 + -4 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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