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Simplifying 7w + -19 = 5w Reorder the terms: -19 + 7w = 5w Solving -19 + 7w = 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. -19 + 7w + -5w = 5w + -5w Combine like terms: 7w + -5w = 2w -19 + 2w = 5w + -5w Combine like terms: 5w + -5w = 0 -19 + 2w = 0 Add '19' to each side of the equation. -19 + 19 + 2w = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 2w = 0 + 19 2w = 0 + 19 Combine like terms: 0 + 19 = 19 2w = 19 Divide each side by '2'. w = 9.5 Simplifying w = 9.5
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