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Simplifying -5.16 + 7.5w = 3.1w + 12 Reorder the terms: -5.16 + 7.5w = 12 + 3.1w Solving -5.16 + 7.5w = 12 + 3.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.1w' to each side of the equation. -5.16 + 7.5w + -3.1w = 12 + 3.1w + -3.1w Combine like terms: 7.5w + -3.1w = 4.4w -5.16 + 4.4w = 12 + 3.1w + -3.1w Combine like terms: 3.1w + -3.1w = 0.0 -5.16 + 4.4w = 12 + 0.0 -5.16 + 4.4w = 12 Add '5.16' to each side of the equation. -5.16 + 5.16 + 4.4w = 12 + 5.16 Combine like terms: -5.16 + 5.16 = 0.00 0.00 + 4.4w = 12 + 5.16 4.4w = 12 + 5.16 Combine like terms: 12 + 5.16 = 17.16 4.4w = 17.16 Divide each side by '4.4'. w = 3.9 Simplifying w = 3.9
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