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Simplifying 8w + 6 = 9w + 12 Reorder the terms: 6 + 8w = 9w + 12 Reorder the terms: 6 + 8w = 12 + 9w Solving 6 + 8w = 12 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 6 + 8w + -9w = 12 + 9w + -9w Combine like terms: 8w + -9w = -1w 6 + -1w = 12 + 9w + -9w Combine like terms: 9w + -9w = 0 6 + -1w = 12 + 0 6 + -1w = 12 Add '-6' to each side of the equation. 6 + -6 + -1w = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 12 + -6 -1w = 12 + -6 Combine like terms: 12 + -6 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6
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