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Simplifying 4(2w + 5) + -8 = 36 Reorder the terms: 4(5 + 2w) + -8 = 36 (5 * 4 + 2w * 4) + -8 = 36 (20 + 8w) + -8 = 36 Reorder the terms: 20 + -8 + 8w = 36 Combine like terms: 20 + -8 = 12 12 + 8w = 36 Solving 12 + 8w = 36 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8w = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 8w = 36 + -12 8w = 36 + -12 Combine like terms: 36 + -12 = 24 8w = 24 Divide each side by '8'. w = 3 Simplifying w = 3
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