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Simplifying 35 = -5w + 2(w + 7) Reorder the terms: 35 = -5w + 2(7 + w) 35 = -5w + (7 * 2 + w * 2) 35 = -5w + (14 + 2w) Reorder the terms: 35 = 14 + -5w + 2w Combine like terms: -5w + 2w = -3w 35 = 14 + -3w Solving 35 = 14 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 35 + 3w = 14 + -3w + 3w Combine like terms: -3w + 3w = 0 35 + 3w = 14 + 0 35 + 3w = 14 Add '-35' to each side of the equation. 35 + -35 + 3w = 14 + -35 Combine like terms: 35 + -35 = 0 0 + 3w = 14 + -35 3w = 14 + -35 Combine like terms: 14 + -35 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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