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Simplifying 7w + -19 = 5w + -5 Reorder the terms: -19 + 7w = 5w + -5 Reorder the terms: -19 + 7w = -5 + 5w Solving -19 + 7w = -5 + 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 = -5 + 5w + -5w Combine like terms: 7w + -5w = 2w -19 + 2w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 -19 + 2w = -5 + 0 -19 + 2w = -5 Add '19' to each side of the equation. -19 + 19 + 2w = -5 + 19 Combine like terms: -19 + 19 = 0 0 + 2w = -5 + 19 2w = -5 + 19 Combine like terms: -5 + 19 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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