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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 = -2 -2 + 11w + -10w + 2w2 + -2w2 = 0 Combine like terms: 11w + -10w = 1w -2 + 1w + 2w2 + -2w2 = 0 Combine like terms: 2w2 + -2w2 = 0 -2 + 1w + 0 = 0 -2 + 1w = 0 Solving -2 + 1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1w = 0 + 2 1w = 0 + 2 Combine like terms: 0 + 2 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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