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Simplifying 2w2 + 11w + 23 + -2w2 + 10w + 25 = 0 Reorder the terms: 23 + 25 + 11w + 10w + 2w2 + -2w2 = 0 Combine like terms: 23 + 25 = 48 48 + 11w + 10w + 2w2 + -2w2 = 0 Combine like terms: 11w + 10w = 21w 48 + 21w + 2w2 + -2w2 = 0 Combine like terms: 2w2 + -2w2 = 0 48 + 21w + 0 = 0 48 + 21w = 0 Solving 48 + 21w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 21w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 21w = 0 + -48 21w = 0 + -48 Combine like terms: 0 + -48 = -48 21w = -48 Divide each side by '21'. w = -2.285714286 Simplifying w = -2.285714286
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