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Simplifying 8.7w + -3 = 5.5w + 3.4 Reorder the terms: -3 + 8.7w = 5.5w + 3.4 Reorder the terms: -3 + 8.7w = 3.4 + 5.5w Solving -3 + 8.7w = 3.4 + 5.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5.5w' to each side of the equation. -3 + 8.7w + -5.5w = 3.4 + 5.5w + -5.5w Combine like terms: 8.7w + -5.5w = 3.2w -3 + 3.2w = 3.4 + 5.5w + -5.5w Combine like terms: 5.5w + -5.5w = 0.0 -3 + 3.2w = 3.4 + 0.0 -3 + 3.2w = 3.4 Add '3' to each side of the equation. -3 + 3 + 3.2w = 3.4 + 3 Combine like terms: -3 + 3 = 0 0 + 3.2w = 3.4 + 3 3.2w = 3.4 + 3 Combine like terms: 3.4 + 3 = 6.4 3.2w = 6.4 Divide each side by '3.2'. w = 2 Simplifying w = 2
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