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Simplifying 3w + 5 = 9 + w Reorder the terms: 5 + 3w = 9 + w Solving 5 + 3w = 9 + 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. 5 + 3w + -1w = 9 + w + -1w Combine like terms: 3w + -1w = 2w 5 + 2w = 9 + w + -1w Combine like terms: w + -1w = 0 5 + 2w = 9 + 0 5 + 2w = 9 Add '-5' to each side of the equation. 5 + -5 + 2w = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 9 + -5 2w = 9 + -5 Combine like terms: 9 + -5 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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