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Simplifying 9.8w + 2.4w + 18.27 = 4.63 + 10w Reorder the terms: 18.27 + 9.8w + 2.4w = 4.63 + 10w Combine like terms: 9.8w + 2.4w = 12.2w 18.27 + 12.2w = 4.63 + 10w Solving 18.27 + 12.2w = 4.63 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 18.27 + 12.2w + -10w = 4.63 + 10w + -10w Combine like terms: 12.2w + -10w = 2.2w 18.27 + 2.2w = 4.63 + 10w + -10w Combine like terms: 10w + -10w = 0 18.27 + 2.2w = 4.63 + 0 18.27 + 2.2w = 4.63 Add '-18.27' to each side of the equation. 18.27 + -18.27 + 2.2w = 4.63 + -18.27 Combine like terms: 18.27 + -18.27 = 0.00 0.00 + 2.2w = 4.63 + -18.27 2.2w = 4.63 + -18.27 Combine like terms: 4.63 + -18.27 = -13.64 2.2w = -13.64 Divide each side by '2.2'. w = -6.2 Simplifying w = -6.2
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