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Simplifying w2 + 2w + 16 = w2 + -1w + 7 Reorder the terms: 16 + 2w + w2 = w2 + -1w + 7 Reorder the terms: 16 + 2w + w2 = 7 + -1w + w2 Add '-1w2' to each side of the equation. 16 + 2w + w2 + -1w2 = 7 + -1w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 16 + 2w + 0 = 7 + -1w + w2 + -1w2 16 + 2w = 7 + -1w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 16 + 2w = 7 + -1w + 0 16 + 2w = 7 + -1w Solving 16 + 2w = 7 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 16 + 2w + w = 7 + -1w + w Combine like terms: 2w + w = 3w 16 + 3w = 7 + -1w + w Combine like terms: -1w + w = 0 16 + 3w = 7 + 0 16 + 3w = 7 Add '-16' to each side of the equation. 16 + -16 + 3w = 7 + -16 Combine like terms: 16 + -16 = 0 0 + 3w = 7 + -16 3w = 7 + -16 Combine like terms: 7 + -16 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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