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Simplifying 14.8w + -18.25 = 18w + 8.47 + 13.5w Reorder the terms: -18.25 + 14.8w = 18w + 8.47 + 13.5w Reorder the terms: -18.25 + 14.8w = 8.47 + 18w + 13.5w Combine like terms: 18w + 13.5w = 31.5w -18.25 + 14.8w = 8.47 + 31.5w Solving -18.25 + 14.8w = 8.47 + 31.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-31.5w' to each side of the equation. -18.25 + 14.8w + -31.5w = 8.47 + 31.5w + -31.5w Combine like terms: 14.8w + -31.5w = -16.7w -18.25 + -16.7w = 8.47 + 31.5w + -31.5w Combine like terms: 31.5w + -31.5w = 0.0 -18.25 + -16.7w = 8.47 + 0.0 -18.25 + -16.7w = 8.47 Add '18.25' to each side of the equation. -18.25 + 18.25 + -16.7w = 8.47 + 18.25 Combine like terms: -18.25 + 18.25 = 0.00 0.00 + -16.7w = 8.47 + 18.25 -16.7w = 8.47 + 18.25 Combine like terms: 8.47 + 18.25 = 26.72 -16.7w = 26.72 Divide each side by '-16.7'. w = -1.6 Simplifying w = -1.6
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