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Simplifying 2w + 2(3w + 9) = 30 Reorder the terms: 2w + 2(9 + 3w) = 30 2w + (9 * 2 + 3w * 2) = 30 2w + (18 + 6w) = 30 Reorder the terms: 18 + 2w + 6w = 30 Combine like terms: 2w + 6w = 8w 18 + 8w = 30 Solving 18 + 8w = 30 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8w = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 8w = 30 + -18 8w = 30 + -18 Combine like terms: 30 + -18 = 12 8w = 12 Divide each side by '8'. w = 1.5 Simplifying w = 1.5
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