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Simplifying 3w + 9 = -2w + -8 Reorder the terms: 9 + 3w = -2w + -8 Reorder the terms: 9 + 3w = -8 + -2w Solving 9 + 3w = -8 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 9 + 3w + 2w = -8 + -2w + 2w Combine like terms: 3w + 2w = 5w 9 + 5w = -8 + -2w + 2w Combine like terms: -2w + 2w = 0 9 + 5w = -8 + 0 9 + 5w = -8 Add '-9' to each side of the equation. 9 + -9 + 5w = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 5w = -8 + -9 5w = -8 + -9 Combine like terms: -8 + -9 = -17 5w = -17 Divide each side by '5'. w = -3.4 Simplifying w = -3.4
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