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Simplifying 5w + 19 = 11 + -3w Reorder the terms: 19 + 5w = 11 + -3w Solving 19 + 5w = 11 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 19 + 5w + 3w = 11 + -3w + 3w Combine like terms: 5w + 3w = 8w 19 + 8w = 11 + -3w + 3w Combine like terms: -3w + 3w = 0 19 + 8w = 11 + 0 19 + 8w = 11 Add '-19' to each side of the equation. 19 + -19 + 8w = 11 + -19 Combine like terms: 19 + -19 = 0 0 + 8w = 11 + -19 8w = 11 + -19 Combine like terms: 11 + -19 = -8 8w = -8 Divide each side by '8'. w = -1 Simplifying w = -1
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