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Simplifying -5(36w + -98) + 80w = 99 + 95 + -96w Reorder the terms: -5(-98 + 36w) + 80w = 99 + 95 + -96w (-98 * -5 + 36w * -5) + 80w = 99 + 95 + -96w (490 + -180w) + 80w = 99 + 95 + -96w Combine like terms: -180w + 80w = -100w 490 + -100w = 99 + 95 + -96w Combine like terms: 99 + 95 = 194 490 + -100w = 194 + -96w Solving 490 + -100w = 194 + -96w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '96w' to each side of the equation. 490 + -100w + 96w = 194 + -96w + 96w Combine like terms: -100w + 96w = -4w 490 + -4w = 194 + -96w + 96w Combine like terms: -96w + 96w = 0 490 + -4w = 194 + 0 490 + -4w = 194 Add '-490' to each side of the equation. 490 + -490 + -4w = 194 + -490 Combine like terms: 490 + -490 = 0 0 + -4w = 194 + -490 -4w = 194 + -490 Combine like terms: 194 + -490 = -296 -4w = -296 Divide each side by '-4'. w = 74 Simplifying w = 74
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