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Simplifying 7w + 19 = -11 + 9w + -4w Reorder the terms: 19 + 7w = -11 + 9w + -4w Combine like terms: 9w + -4w = 5w 19 + 7w = -11 + 5w Solving 19 + 7w = -11 + 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 = -11 + 5w + -5w Combine like terms: 7w + -5w = 2w 19 + 2w = -11 + 5w + -5w Combine like terms: 5w + -5w = 0 19 + 2w = -11 + 0 19 + 2w = -11 Add '-19' to each side of the equation. 19 + -19 + 2w = -11 + -19 Combine like terms: 19 + -19 = 0 0 + 2w = -11 + -19 2w = -11 + -19 Combine like terms: -11 + -19 = -30 2w = -30 Divide each side by '2'. w = -15 Simplifying w = -15
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