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Simplifying 11.6 + 9.1 = 10w + -5.5 + -9w Combine like terms: 11.6 + 9.1 = 20.7 20.7 = 10w + -5.5 + -9w Reorder the terms: 20.7 = -5.5 + 10w + -9w Combine like terms: 10w + -9w = 1w 20.7 = -5.5 + 1w Solving 20.7 = -5.5 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 20.7 + -1w = -5.5 + 1w + -1w Combine like terms: 1w + -1w = 0 20.7 + -1w = -5.5 + 0 20.7 + -1w = -5.5 Add '-20.7' to each side of the equation. 20.7 + -20.7 + -1w = -5.5 + -20.7 Combine like terms: 20.7 + -20.7 = 0.0 0.0 + -1w = -5.5 + -20.7 -1w = -5.5 + -20.7 Combine like terms: -5.5 + -20.7 = -26.2 -1w = -26.2 Divide each side by '-1'. w = 26.2 Simplifying w = 26.2
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