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Simplifying 11.5w + 14.79 = 19.76 + 2.8w + 9.4w Reorder the terms: 14.79 + 11.5w = 19.76 + 2.8w + 9.4w Combine like terms: 2.8w + 9.4w = 12.2w 14.79 + 11.5w = 19.76 + 12.2w Solving 14.79 + 11.5w = 19.76 + 12.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12.2w' to each side of the equation. 14.79 + 11.5w + -12.2w = 19.76 + 12.2w + -12.2w Combine like terms: 11.5w + -12.2w = -0.7w 14.79 + -0.7w = 19.76 + 12.2w + -12.2w Combine like terms: 12.2w + -12.2w = 0.0 14.79 + -0.7w = 19.76 + 0.0 14.79 + -0.7w = 19.76 Add '-14.79' to each side of the equation. 14.79 + -14.79 + -0.7w = 19.76 + -14.79 Combine like terms: 14.79 + -14.79 = 0.00 0.00 + -0.7w = 19.76 + -14.79 -0.7w = 19.76 + -14.79 Combine like terms: 19.76 + -14.79 = 4.97 -0.7w = 4.97 Divide each side by '-0.7'. w = -7.1 Simplifying w = -7.1
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