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Simplifying 2w + -19 = 46 + -3w Reorder the terms: -19 + 2w = 46 + -3w Solving -19 + 2w = 46 + -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 + 2w + 3w = 46 + -3w + 3w Combine like terms: 2w + 3w = 5w -19 + 5w = 46 + -3w + 3w Combine like terms: -3w + 3w = 0 -19 + 5w = 46 + 0 -19 + 5w = 46 Add '19' to each side of the equation. -19 + 19 + 5w = 46 + 19 Combine like terms: -19 + 19 = 0 0 + 5w = 46 + 19 5w = 46 + 19 Combine like terms: 46 + 19 = 65 5w = 65 Divide each side by '5'. w = 13 Simplifying w = 13
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