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Simplifying 5w + -5 = 2w + 97 Reorder the terms: -5 + 5w = 2w + 97 Reorder the terms: -5 + 5w = 97 + 2w Solving -5 + 5w = 97 + 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. -5 + 5w + -2w = 97 + 2w + -2w Combine like terms: 5w + -2w = 3w -5 + 3w = 97 + 2w + -2w Combine like terms: 2w + -2w = 0 -5 + 3w = 97 + 0 -5 + 3w = 97 Add '5' to each side of the equation. -5 + 5 + 3w = 97 + 5 Combine like terms: -5 + 5 = 0 0 + 3w = 97 + 5 3w = 97 + 5 Combine like terms: 97 + 5 = 102 3w = 102 Divide each side by '3'. w = 34 Simplifying w = 34
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