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Simplifying 0.04(8 + -0.2w) = -4 (8 * 0.04 + -0.2w * 0.04) = -4 (0.32 + -0.008w) = -4 Solving 0.32 + -0.008w = -4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.32' to each side of the equation. 0.32 + -0.32 + -0.008w = -4 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + -0.008w = -4 + -0.32 -0.008w = -4 + -0.32 Combine like terms: -4 + -0.32 = -4.32 -0.008w = -4.32 Divide each side by '-0.008'. w = 540 Simplifying w = 540
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