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Simplifying 2w + 35 = -5w Reorder the terms: 35 + 2w = -5w Solving 35 + 2w = -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. 35 + 2w + 5w = -5w + 5w Combine like terms: 2w + 5w = 7w 35 + 7w = -5w + 5w Combine like terms: -5w + 5w = 0 35 + 7w = 0 Add '-35' to each side of the equation. 35 + -35 + 7w = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 7w = 0 + -35 7w = 0 + -35 Combine like terms: 0 + -35 = -35 7w = -35 Divide each side by '7'. w = -5 Simplifying w = -5
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