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Simplifying 78 + w + 6 + 2w = 180 Reorder the terms: 78 + 6 + w + 2w = 180 Combine like terms: 78 + 6 = 84 84 + w + 2w = 180 Combine like terms: w + 2w = 3w 84 + 3w = 180 Solving 84 + 3w = 180 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 3w = 180 + -84 Combine like terms: 84 + -84 = 0 0 + 3w = 180 + -84 3w = 180 + -84 Combine like terms: 180 + -84 = 96 3w = 96 Divide each side by '3'. w = 32 Simplifying w = 32
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