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Simplifying 2(5w + 4) + 2w = -76 Reorder the terms: 2(4 + 5w) + 2w = -76 (4 * 2 + 5w * 2) + 2w = -76 (8 + 10w) + 2w = -76 Combine like terms: 10w + 2w = 12w 8 + 12w = -76 Solving 8 + 12w = -76 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 12w = -76 + -8 Combine like terms: 8 + -8 = 0 0 + 12w = -76 + -8 12w = -76 + -8 Combine like terms: -76 + -8 = -84 12w = -84 Divide each side by '12'. w = -7 Simplifying w = -7
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