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Simplifying 17 = -5w + 3(w + 7) Reorder the terms: 17 = -5w + 3(7 + w) 17 = -5w + (7 * 3 + w * 3) 17 = -5w + (21 + 3w) Reorder the terms: 17 = 21 + -5w + 3w Combine like terms: -5w + 3w = -2w 17 = 21 + -2w Solving 17 = 21 + -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 + 2w = 21 + -2w + 2w Combine like terms: -2w + 2w = 0 17 + 2w = 21 + 0 17 + 2w = 21 Add '-17' to each side of the equation. 17 + -17 + 2w = 21 + -17 Combine like terms: 17 + -17 = 0 0 + 2w = 21 + -17 2w = 21 + -17 Combine like terms: 21 + -17 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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