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Simplifying 84 = 2(2w + 6 + 2w) Reorder the terms: 84 = 2(6 + 2w + 2w) Combine like terms: 2w + 2w = 4w 84 = 2(6 + 4w) 84 = (6 * 2 + 4w * 2) 84 = (12 + 8w) Solving 84 = 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. 84 + -8w = 12 + 8w + -8w Combine like terms: 8w + -8w = 0 84 + -8w = 12 + 0 84 + -8w = 12 Add '-84' to each side of the equation. 84 + -84 + -8w = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -8w = 12 + -84 -8w = 12 + -84 Combine like terms: 12 + -84 = -72 -8w = -72 Divide each side by '-8'. w = 9 Simplifying w = 9
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