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Simplifying 2((2w + 6) + w) = 84 Reorder the terms: 2((6 + 2w) + w) = 84 Remove parenthesis around (6 + 2w) 2(6 + 2w + w) = 84 Combine like terms: 2w + w = 3w 2(6 + 3w) = 84 (6 * 2 + 3w * 2) = 84 (12 + 6w) = 84 Solving 12 + 6w = 84 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 + 6w = 84 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = 84 + -12 6w = 84 + -12 Combine like terms: 84 + -12 = 72 6w = 72 Divide each side by '6'. w = 12 Simplifying w = 12
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