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Simplifying 13.4w + 17 = 5w + -4 Reorder the terms: 17 + 13.4w = 5w + -4 Reorder the terms: 17 + 13.4w = -4 + 5w Solving 17 + 13.4w = -4 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 17 + 13.4w + -5w = -4 + 5w + -5w Combine like terms: 13.4w + -5w = 8.4w 17 + 8.4w = -4 + 5w + -5w Combine like terms: 5w + -5w = 0 17 + 8.4w = -4 + 0 17 + 8.4w = -4 Add '-17' to each side of the equation. 17 + -17 + 8.4w = -4 + -17 Combine like terms: 17 + -17 = 0 0 + 8.4w = -4 + -17 8.4w = -4 + -17 Combine like terms: -4 + -17 = -21 8.4w = -21 Divide each side by '8.4'. w = -2.5 Simplifying w = -2.5
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