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Simplifying 3w + 9 = 19 + w Reorder the terms: 9 + 3w = 19 + w Solving 9 + 3w = 19 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 9 + 3w + -1w = 19 + w + -1w Combine like terms: 3w + -1w = 2w 9 + 2w = 19 + w + -1w Combine like terms: w + -1w = 0 9 + 2w = 19 + 0 9 + 2w = 19 Add '-9' to each side of the equation. 9 + -9 + 2w = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = 19 + -9 2w = 19 + -9 Combine like terms: 19 + -9 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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