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Simplifying 2(0.11 + -0.2w) = 7.82 (0.11 * 2 + -0.2w * 2) = 7.82 (0.22 + -0.4w) = 7.82 Solving 0.22 + -0.4w = 7.82 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.22' to each side of the equation. 0.22 + -0.22 + -0.4w = 7.82 + -0.22 Combine like terms: 0.22 + -0.22 = 0.00 0.00 + -0.4w = 7.82 + -0.22 -0.4w = 7.82 + -0.22 Combine like terms: 7.82 + -0.22 = 7.6 -0.4w = 7.6 Divide each side by '-0.4'. w = -19 Simplifying w = -19
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