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Simplifying 5w + 35 = -6w + 24 Reorder the terms: 35 + 5w = -6w + 24 Reorder the terms: 35 + 5w = 24 + -6w Solving 35 + 5w = 24 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 35 + 5w + 6w = 24 + -6w + 6w Combine like terms: 5w + 6w = 11w 35 + 11w = 24 + -6w + 6w Combine like terms: -6w + 6w = 0 35 + 11w = 24 + 0 35 + 11w = 24 Add '-35' to each side of the equation. 35 + -35 + 11w = 24 + -35 Combine like terms: 35 + -35 = 0 0 + 11w = 24 + -35 11w = 24 + -35 Combine like terms: 24 + -35 = -11 11w = -11 Divide each side by '11'. w = -1 Simplifying w = -1
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