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Simplifying 4(2w + 5) = -40 Reorder the terms: 4(5 + 2w) = -40 (5 * 4 + 2w * 4) = -40 (20 + 8w) = -40 Solving 20 + 8w = -40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 8w = -40 + -20 Combine like terms: 20 + -20 = 0 0 + 8w = -40 + -20 8w = -40 + -20 Combine like terms: -40 + -20 = -60 8w = -60 Divide each side by '8'. w = -7.5 Simplifying w = -7.5
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