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Simplifying 8.7w + -3 = 3.5w + 3.4 Reorder the terms: -3 + 8.7w = 3.5w + 3.4 Reorder the terms: -3 + 8.7w = 3.4 + 3.5w Solving -3 + 8.7w = 3.4 + 3.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.5w' to each side of the equation. -3 + 8.7w + -3.5w = 3.4 + 3.5w + -3.5w Combine like terms: 8.7w + -3.5w = 5.2w -3 + 5.2w = 3.4 + 3.5w + -3.5w Combine like terms: 3.5w + -3.5w = 0.0 -3 + 5.2w = 3.4 + 0.0 -3 + 5.2w = 3.4 Add '3' to each side of the equation. -3 + 3 + 5.2w = 3.4 + 3 Combine like terms: -3 + 3 = 0 0 + 5.2w = 3.4 + 3 5.2w = 3.4 + 3 Combine like terms: 3.4 + 3 = 6.4 5.2w = 6.4 Divide each side by '5.2'. w = 1.230769231 Simplifying w = 1.230769231
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