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Simplifying (2 + w) * w + (10 + -1w) * w = 48 Reorder the terms for easier multiplication: w(2 + w) + (10 + -1w) * w = 48 (2 * w + w * w) + (10 + -1w) * w = 48 (2w + w2) + (10 + -1w) * w = 48 Reorder the terms for easier multiplication: 2w + w2 + w(10 + -1w) = 48 2w + w2 + (10 * w + -1w * w) = 48 2w + w2 + (10w + -1w2) = 48 Reorder the terms: 2w + 10w + w2 + -1w2 = 48 Combine like terms: 2w + 10w = 12w 12w + w2 + -1w2 = 48 Combine like terms: w2 + -1w2 = 0 12w + 0 = 48 12w = 48 Solving 12w = 48 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '12'. w = 4 Simplifying w = 4
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