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Simplifying 2w + 9 = 8w + 21 Reorder the terms: 9 + 2w = 8w + 21 Reorder the terms: 9 + 2w = 21 + 8w Solving 9 + 2w = 21 + 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 = 21 + 8w + -8w Combine like terms: 2w + -8w = -6w 9 + -6w = 21 + 8w + -8w Combine like terms: 8w + -8w = 0 9 + -6w = 21 + 0 9 + -6w = 21 Add '-9' to each side of the equation. 9 + -9 + -6w = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -6w = 21 + -9 -6w = 21 + -9 Combine like terms: 21 + -9 = 12 -6w = 12 Divide each side by '-6'. w = -2 Simplifying w = -2
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