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Simplifying 2w + 3 = 5w + 9 Reorder the terms: 3 + 2w = 5w + 9 Reorder the terms: 3 + 2w = 9 + 5w Solving 3 + 2w = 9 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 3 + 2w + -5w = 9 + 5w + -5w Combine like terms: 2w + -5w = -3w 3 + -3w = 9 + 5w + -5w Combine like terms: 5w + -5w = 0 3 + -3w = 9 + 0 3 + -3w = 9 Add '-3' to each side of the equation. 3 + -3 + -3w = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -3w = 9 + -3 -3w = 9 + -3 Combine like terms: 9 + -3 = 6 -3w = 6 Divide each side by '-3'. w = -2 Simplifying w = -2
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