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Simplifying w * 1.9 = 3.8 + 6.22 + 1.8 + w + 1.8 Reorder the terms for easier multiplication: 1.9w = 3.8 + 6.22 + 1.8 + w + 1.8 Reorder the terms: 1.9w = 3.8 + 6.22 + 1.8 + 1.8 + w Combine like terms: 3.8 + 6.22 = 10.02 1.9w = 10.02 + 1.8 + 1.8 + w Combine like terms: 10.02 + 1.8 = 11.82 1.9w = 11.82 + 1.8 + w Combine like terms: 11.82 + 1.8 = 13.62 1.9w = 13.62 + w Solving 1.9w = 13.62 + w 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. 1.9w + -1w = 13.62 + w + -1w Combine like terms: 1.9w + -1w = 0.9w 0.9w = 13.62 + w + -1w Combine like terms: w + -1w = 0 0.9w = 13.62 + 0 0.9w = 13.62 Divide each side by '0.9'. w = 15.13333333 Simplifying w = 15.13333333
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