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Simplifying 19.1w + 10.79 = 4.27 + 3.9w + 14.8w Reorder the terms: 10.79 + 19.1w = 4.27 + 3.9w + 14.8w Combine like terms: 3.9w + 14.8w = 18.7w 10.79 + 19.1w = 4.27 + 18.7w Solving 10.79 + 19.1w = 4.27 + 18.7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18.7w' to each side of the equation. 10.79 + 19.1w + -18.7w = 4.27 + 18.7w + -18.7w Combine like terms: 19.1w + -18.7w = 0.4w 10.79 + 0.4w = 4.27 + 18.7w + -18.7w Combine like terms: 18.7w + -18.7w = 0.0 10.79 + 0.4w = 4.27 + 0.0 10.79 + 0.4w = 4.27 Add '-10.79' to each side of the equation. 10.79 + -10.79 + 0.4w = 4.27 + -10.79 Combine like terms: 10.79 + -10.79 = 0.00 0.00 + 0.4w = 4.27 + -10.79 0.4w = 4.27 + -10.79 Combine like terms: 4.27 + -10.79 = -6.52 0.4w = -6.52 Divide each side by '0.4'. w = -16.3 Simplifying w = -16.3
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