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Simplifying 5.5w + -4.2 = 1.1w + 4.6 Reorder the terms: -4.2 + 5.5w = 1.1w + 4.6 Reorder the terms: -4.2 + 5.5w = 4.6 + 1.1w Solving -4.2 + 5.5w = 4.6 + 1.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.1w' to each side of the equation. -4.2 + 5.5w + -1.1w = 4.6 + 1.1w + -1.1w Combine like terms: 5.5w + -1.1w = 4.4w -4.2 + 4.4w = 4.6 + 1.1w + -1.1w Combine like terms: 1.1w + -1.1w = 0.0 -4.2 + 4.4w = 4.6 + 0.0 -4.2 + 4.4w = 4.6 Add '4.2' to each side of the equation. -4.2 + 4.2 + 4.4w = 4.6 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 4.4w = 4.6 + 4.2 4.4w = 4.6 + 4.2 Combine like terms: 4.6 + 4.2 = 8.8 4.4w = 8.8 Divide each side by '4.4'. w = 2 Simplifying w = 2
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