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Simplifying 3(3w + 7) = -8 Reorder the terms: 3(7 + 3w) = -8 (7 * 3 + 3w * 3) = -8 (21 + 9w) = -8 Solving 21 + 9w = -8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 9w = -8 + -21 Combine like terms: 21 + -21 = 0 0 + 9w = -8 + -21 9w = -8 + -21 Combine like terms: -8 + -21 = -29 9w = -29 Divide each side by '9'. w = -3.222222222 Simplifying w = -3.222222222
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