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Simplifying 4w + -8w + 9 = w + -5 Reorder the terms: 9 + 4w + -8w = w + -5 Combine like terms: 4w + -8w = -4w 9 + -4w = w + -5 Reorder the terms: 9 + -4w = -5 + w Solving 9 + -4w = -5 + 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. 9 + -4w + -1w = -5 + w + -1w Combine like terms: -4w + -1w = -5w 9 + -5w = -5 + w + -1w Combine like terms: w + -1w = 0 9 + -5w = -5 + 0 9 + -5w = -5 Add '-9' to each side of the equation. 9 + -9 + -5w = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -5w = -5 + -9 -5w = -5 + -9 Combine like terms: -5 + -9 = -14 -5w = -14 Divide each side by '-5'. w = 2.8 Simplifying w = 2.8
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