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Simplifying 80 = 2w + 2(4w + 5) Reorder the terms: 80 = 2w + 2(5 + 4w) 80 = 2w + (5 * 2 + 4w * 2) 80 = 2w + (10 + 8w) Reorder the terms: 80 = 10 + 2w + 8w Combine like terms: 2w + 8w = 10w 80 = 10 + 10w Solving 80 = 10 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 80 + -10w = 10 + 10w + -10w Combine like terms: 10w + -10w = 0 80 + -10w = 10 + 0 80 + -10w = 10 Add '-80' to each side of the equation. 80 + -80 + -10w = 10 + -80 Combine like terms: 80 + -80 = 0 0 + -10w = 10 + -80 -10w = 10 + -80 Combine like terms: 10 + -80 = -70 -10w = -70 Divide each side by '-10'. w = 7 Simplifying w = 7
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