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Simplifying 2(2w + 4) + 2w = 30 Reorder the terms: 2(4 + 2w) + 2w = 30 (4 * 2 + 2w * 2) + 2w = 30 (8 + 4w) + 2w = 30 Combine like terms: 4w + 2w = 6w 8 + 6w = 30 Solving 8 + 6w = 30 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6w = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 6w = 30 + -8 6w = 30 + -8 Combine like terms: 30 + -8 = 22 6w = 22 Divide each side by '6'. w = 3.666666667 Simplifying w = 3.666666667
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