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Simplifying -17 = -7w + 2(w + 4) Reorder the terms: -17 = -7w + 2(4 + w) -17 = -7w + (4 * 2 + w * 2) -17 = -7w + (8 + 2w) Reorder the terms: -17 = 8 + -7w + 2w Combine like terms: -7w + 2w = -5w -17 = 8 + -5w Solving -17 = 8 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -17 + 5w = 8 + -5w + 5w Combine like terms: -5w + 5w = 0 -17 + 5w = 8 + 0 -17 + 5w = 8 Add '17' to each side of the equation. -17 + 17 + 5w = 8 + 17 Combine like terms: -17 + 17 = 0 0 + 5w = 8 + 17 5w = 8 + 17 Combine like terms: 8 + 17 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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