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Simplifying 2(4w + 10) = -27 Reorder the terms: 2(10 + 4w) = -27 (10 * 2 + 4w * 2) = -27 (20 + 8w) = -27 Solving 20 + 8w = -27 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 = -27 + -20 Combine like terms: 20 + -20 = 0 0 + 8w = -27 + -20 8w = -27 + -20 Combine like terms: -27 + -20 = -47 8w = -47 Divide each side by '8'. w = -5.875 Simplifying w = -5.875
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