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Simplifying 5w + 9 = 2 + 3w Reorder the terms: 9 + 5w = 2 + 3w Solving 9 + 5w = 2 + 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. 9 + 5w + -3w = 2 + 3w + -3w Combine like terms: 5w + -3w = 2w 9 + 2w = 2 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + 2w = 2 + 0 9 + 2w = 2 Add '-9' to each side of the equation. 9 + -9 + 2w = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = 2 + -9 2w = 2 + -9 Combine like terms: 2 + -9 = -7 2w = -7 Divide each side by '2'. w = -3.5 Simplifying w = -3.5
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