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Simplifying 9(w + 5) = 1 + 8w Reorder the terms: 9(5 + w) = 1 + 8w (5 * 9 + w * 9) = 1 + 8w (45 + 9w) = 1 + 8w Solving 45 + 9w = 1 + 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. 45 + 9w + -8w = 1 + 8w + -8w Combine like terms: 9w + -8w = 1w 45 + 1w = 1 + 8w + -8w Combine like terms: 8w + -8w = 0 45 + 1w = 1 + 0 45 + 1w = 1 Add '-45' to each side of the equation. 45 + -45 + 1w = 1 + -45 Combine like terms: 45 + -45 = 0 0 + 1w = 1 + -45 1w = 1 + -45 Combine like terms: 1 + -45 = -44 1w = -44 Divide each side by '1'. w = -44 Simplifying w = -44
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