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Simplifying w(w + 6) + 4w = 7 + w(w + 9) Reorder the terms: w(6 + w) + 4w = 7 + w(w + 9) (6 * w + w * w) + 4w = 7 + w(w + 9) (6w + w2) + 4w = 7 + w(w + 9) Reorder the terms: 6w + 4w + w2 = 7 + w(w + 9) Combine like terms: 6w + 4w = 10w 10w + w2 = 7 + w(w + 9) Reorder the terms: 10w + w2 = 7 + w(9 + w) 10w + w2 = 7 + (9 * w + w * w) 10w + w2 = 7 + (9w + w2) Add '-1w2' to each side of the equation. 10w + w2 + -1w2 = 7 + 9w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 10w + 0 = 7 + 9w + w2 + -1w2 10w = 7 + 9w + w2 + -1w2 Combine like terms: w2 + -1w2 = 0 10w = 7 + 9w + 0 10w = 7 + 9w Solving 10w = 7 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 10w + -9w = 7 + 9w + -9w Combine like terms: 10w + -9w = 1w 1w = 7 + 9w + -9w Combine like terms: 9w + -9w = 0 1w = 7 + 0 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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