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Simplifying 80 = 2(4w + 5) + 2 Reorder the terms: 80 = 2(5 + 4w) + 2 80 = (5 * 2 + 4w * 2) + 2 80 = (10 + 8w) + 2 Reorder the terms: 80 = 10 + 2 + 8w Combine like terms: 10 + 2 = 12 80 = 12 + 8w Solving 80 = 12 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 80 + -8w = 12 + 8w + -8w Combine like terms: 8w + -8w = 0 80 + -8w = 12 + 0 80 + -8w = 12 Add '-80' to each side of the equation. 80 + -80 + -8w = 12 + -80 Combine like terms: 80 + -80 = 0 0 + -8w = 12 + -80 -8w = 12 + -80 Combine like terms: 12 + -80 = -68 -8w = -68 Divide each side by '-8'. w = 8.5 Simplifying w = 8.5
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