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Simplifying 72 = 2(2w + 6) + 2w Reorder the terms: 72 = 2(6 + 2w) + 2w 72 = (6 * 2 + 2w * 2) + 2w 72 = (12 + 4w) + 2w Combine like terms: 4w + 2w = 6w 72 = 12 + 6w Solving 72 = 12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 72 + -6w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 72 + -6w = 12 + 0 72 + -6w = 12 Add '-72' to each side of the equation. 72 + -72 + -6w = 12 + -72 Combine like terms: 72 + -72 = 0 0 + -6w = 12 + -72 -6w = 12 + -72 Combine like terms: 12 + -72 = -60 -6w = -60 Divide each side by '-6'. w = 10 Simplifying w = 10
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