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Simplifying 0.4(5 + -0.4w) = -3.2 (5 * 0.4 + -0.4w * 0.4) = -3.2 (2 + -0.16w) = -3.2 Solving 2 + -0.16w = -3.2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -0.16w = -3.2 + -2 Combine like terms: 2 + -2 = 0 0 + -0.16w = -3.2 + -2 -0.16w = -3.2 + -2 Combine like terms: -3.2 + -2 = -5.2 -0.16w = -5.2 Divide each side by '-0.16'. w = 32.5 Simplifying w = 32.5
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