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