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Simplifying 5.5w + -3.1 = 1.7w + 0.7 Reorder the terms: -3.1 + 5.5w = 1.7w + 0.7 Reorder the terms: -3.1 + 5.5w = 0.7 + 1.7w Solving -3.1 + 5.5w = 0.7 + 1.7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.7w' to each side of the equation. -3.1 + 5.5w + -1.7w = 0.7 + 1.7w + -1.7w Combine like terms: 5.5w + -1.7w = 3.8w -3.1 + 3.8w = 0.7 + 1.7w + -1.7w Combine like terms: 1.7w + -1.7w = 0.0 -3.1 + 3.8w = 0.7 + 0.0 -3.1 + 3.8w = 0.7 Add '3.1' to each side of the equation. -3.1 + 3.1 + 3.8w = 0.7 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 3.8w = 0.7 + 3.1 3.8w = 0.7 + 3.1 Combine like terms: 0.7 + 3.1 = 3.8 3.8w = 3.8 Divide each side by '3.8'. w = 1 Simplifying w = 1
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