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Simplifying 5.4w + 8.2 = 9.8 + -2.8 Reorder the terms: 8.2 + 5.4w = 9.8 + -2.8 Combine like terms: 9.8 + -2.8 = 7 8.2 + 5.4w = 7 Solving 8.2 + 5.4w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8.2' to each side of the equation. 8.2 + -8.2 + 5.4w = 7 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + 5.4w = 7 + -8.2 5.4w = 7 + -8.2 Combine like terms: 7 + -8.2 = -1.2 5.4w = -1.2 Divide each side by '5.4'. w = -0.2222222222 Simplifying w = -0.2222222222
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