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Simplifying 7w + 17 = 2(w + 6) Reorder the terms: 17 + 7w = 2(w + 6) Reorder the terms: 17 + 7w = 2(6 + w) 17 + 7w = (6 * 2 + w * 2) 17 + 7w = (12 + 2w) Solving 17 + 7w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 17 + 7w + -2w = 12 + 2w + -2w Combine like terms: 7w + -2w = 5w 17 + 5w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 17 + 5w = 12 + 0 17 + 5w = 12 Add '-17' to each side of the equation. 17 + -17 + 5w = 12 + -17 Combine like terms: 17 + -17 = 0 0 + 5w = 12 + -17 5w = 12 + -17 Combine like terms: 12 + -17 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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