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Simplifying 3w + 6(w + 2) = 30 Reorder the terms: 3w + 6(2 + w) = 30 3w + (2 * 6 + w * 6) = 30 3w + (12 + 6w) = 30 Reorder the terms: 12 + 3w + 6w = 30 Combine like terms: 3w + 6w = 9w 12 + 9w = 30 Solving 12 + 9w = 30 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 + 9w = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 9w = 30 + -12 9w = 30 + -12 Combine like terms: 30 + -12 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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