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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 = 8w 9 + 8w = 2 + -3w + 3w Combine like terms: -3w + 3w = 0 9 + 8w = 2 + 0 9 + 8w = 2 Add '-9' to each side of the equation. 9 + -9 + 8w = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 8w = 2 + -9 8w = 2 + -9 Combine like terms: 2 + -9 = -7 8w = -7 Divide each side by '8'. w = -0.875 Simplifying w = -0.875
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