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Simplifying 9(w + 7) = 3 + 8w Reorder the terms: 9(7 + w) = 3 + 8w (7 * 9 + w * 9) = 3 + 8w (63 + 9w) = 3 + 8w Solving 63 + 9w = 3 + 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. 63 + 9w + -8w = 3 + 8w + -8w Combine like terms: 9w + -8w = 1w 63 + 1w = 3 + 8w + -8w Combine like terms: 8w + -8w = 0 63 + 1w = 3 + 0 63 + 1w = 3 Add '-63' to each side of the equation. 63 + -63 + 1w = 3 + -63 Combine like terms: 63 + -63 = 0 0 + 1w = 3 + -63 1w = 3 + -63 Combine like terms: 3 + -63 = -60 1w = -60 Divide each side by '1'. w = -60 Simplifying w = -60
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