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Simplifying w + 8.2 + 0.4w = -8.6 Reorder the terms: 8.2 + w + 0.4w = -8.6 Combine like terms: w + 0.4w = 1.4w 8.2 + 1.4w = -8.6 Solving 8.2 + 1.4w = -8.6 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 + 1.4w = -8.6 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + 1.4w = -8.6 + -8.2 1.4w = -8.6 + -8.2 Combine like terms: -8.6 + -8.2 = -16.8 1.4w = -16.8 Divide each side by '1.4'. w = -12 Simplifying w = -12
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