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Simplifying 2(2w + 5) + 2w = 30 Reorder the terms: 2(5 + 2w) + 2w = 30 (5 * 2 + 2w * 2) + 2w = 30 (10 + 4w) + 2w = 30 Combine like terms: 4w + 2w = 6w 10 + 6w = 30 Solving 10 + 6w = 30 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6w = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 6w = 30 + -10 6w = 30 + -10 Combine like terms: 30 + -10 = 20 6w = 20 Divide each side by '6'. w = 3.333333333 Simplifying w = 3.333333333
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