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