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Simplifying 5w + 2(w + 6) + 8 = 69 Reorder the terms: 5w + 2(6 + w) + 8 = 69 5w + (6 * 2 + w * 2) + 8 = 69 5w + (12 + 2w) + 8 = 69 Reorder the terms: 12 + 8 + 5w + 2w = 69 Combine like terms: 12 + 8 = 20 20 + 5w + 2w = 69 Combine like terms: 5w + 2w = 7w 20 + 7w = 69 Solving 20 + 7w = 69 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7w = 69 + -20 Combine like terms: 20 + -20 = 0 0 + 7w = 69 + -20 7w = 69 + -20 Combine like terms: 69 + -20 = 49 7w = 49 Divide each side by '7'. w = 7 Simplifying w = 7
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