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Simplifying 4(w + 2) + 7w = 30 Reorder the terms: 4(2 + w) + 7w = 30 (2 * 4 + w * 4) + 7w = 30 (8 + 4w) + 7w = 30 Combine like terms: 4w + 7w = 11w 8 + 11w = 30 Solving 8 + 11w = 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 + 11w = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 11w = 30 + -8 11w = 30 + -8 Combine like terms: 30 + -8 = 22 11w = 22 Divide each side by '11'. w = 2 Simplifying w = 2
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