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Simplifying 3w + 4 = 19 + -2w Reorder the terms: 4 + 3w = 19 + -2w Solving 4 + 3w = 19 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 4 + 3w + 2w = 19 + -2w + 2w Combine like terms: 3w + 2w = 5w 4 + 5w = 19 + -2w + 2w Combine like terms: -2w + 2w = 0 4 + 5w = 19 + 0 4 + 5w = 19 Add '-4' to each side of the equation. 4 + -4 + 5w = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 19 + -4 5w = 19 + -4 Combine like terms: 19 + -4 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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