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Simplifying 2w + 2(2w + 6) = 28 Reorder the terms: 2w + 2(6 + 2w) = 28 2w + (6 * 2 + 2w * 2) = 28 2w + (12 + 4w) = 28 Reorder the terms: 12 + 2w + 4w = 28 Combine like terms: 2w + 4w = 6w 12 + 6w = 28 Solving 12 + 6w = 28 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 = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = 28 + -12 6w = 28 + -12 Combine like terms: 28 + -12 = 16 6w = 16 Divide each side by '6'. w = 2.666666667 Simplifying w = 2.666666667
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