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Simplifying 30 + 55.5w + 20w = 20 + 46.5w + 34w Combine like terms: 55.5w + 20w = 75.5w 30 + 75.5w = 20 + 46.5w + 34w Combine like terms: 46.5w + 34w = 80.5w 30 + 75.5w = 20 + 80.5w Solving 30 + 75.5w = 20 + 80.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-80.5w' to each side of the equation. 30 + 75.5w + -80.5w = 20 + 80.5w + -80.5w Combine like terms: 75.5w + -80.5w = -5w 30 + -5w = 20 + 80.5w + -80.5w Combine like terms: 80.5w + -80.5w = 0.0 30 + -5w = 20 + 0.0 30 + -5w = 20 Add '-30' to each side of the equation. 30 + -30 + -5w = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -5w = 20 + -30 -5w = 20 + -30 Combine like terms: 20 + -30 = -10 -5w = -10 Divide each side by '-5'. w = 2 Simplifying w = 2
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