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Simplifying 108.44 = 2(5.54w + 1930) + 2w Reorder the terms: 108.44 = 2(1930 + 5.54w) + 2w 108.44 = (1930 * 2 + 5.54w * 2) + 2w 108.44 = (3860 + 11.08w) + 2w Combine like terms: 11.08w + 2w = 13.08w 108.44 = 3860 + 13.08w Solving 108.44 = 3860 + 13.08w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13.08w' to each side of the equation. 108.44 + -13.08w = 3860 + 13.08w + -13.08w Combine like terms: 13.08w + -13.08w = 0.00 108.44 + -13.08w = 3860 + 0.00 108.44 + -13.08w = 3860 Add '-108.44' to each side of the equation. 108.44 + -108.44 + -13.08w = 3860 + -108.44 Combine like terms: 108.44 + -108.44 = 0.00 0.00 + -13.08w = 3860 + -108.44 -13.08w = 3860 + -108.44 Combine like terms: 3860 + -108.44 = 3751.56 -13.08w = 3751.56 Divide each side by '-13.08'. w = -286.8165138 Simplifying w = -286.8165138
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