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Simplifying 2w + 9 = 8w + 12 Reorder the terms: 9 + 2w = 8w + 12 Reorder the terms: 9 + 2w = 12 + 8w Solving 9 + 2w = 12 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 9 + 2w + -8w = 12 + 8w + -8w Combine like terms: 2w + -8w = -6w 9 + -6w = 12 + 8w + -8w Combine like terms: 8w + -8w = 0 9 + -6w = 12 + 0 9 + -6w = 12 Add '-9' to each side of the equation. 9 + -9 + -6w = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -6w = 12 + -9 -6w = 12 + -9 Combine like terms: 12 + -9 = 3 -6w = 3 Divide each side by '-6'. w = -0.5 Simplifying w = -0.5
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