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Simplifying 0.4(8 + -0.2w) = (-4) (8 * 0.4 + -0.2w * 0.4) = (-4) (3.2 + -0.08w) = (-4) 3.2 + -0.08w = -4 Solving 3.2 + -0.08w = -4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + -0.08w = -4 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -0.08w = -4 + -3.2 -0.08w = -4 + -3.2 Combine like terms: -4 + -3.2 = -7.2 -0.08w = -7.2 Divide each side by '-0.08'. w = 90 Simplifying w = 90
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