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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 = 1w 9 + 1w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 9 + 1w = -8 + 0 9 + 1w = -8 Add '-9' to each side of the equation. 9 + -9 + 1w = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 1w = -8 + -9 1w = -8 + -9 Combine like terms: -8 + -9 = -17 1w = -17 Divide each side by '1'. w = -17 Simplifying w = -17
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