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Simplifying 9(w + 3) = -3w + -21 Reorder the terms: 9(3 + w) = -3w + -21 (3 * 9 + w * 9) = -3w + -21 (27 + 9w) = -3w + -21 Reorder the terms: 27 + 9w = -21 + -3w Solving 27 + 9w = -21 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 27 + 9w + 3w = -21 + -3w + 3w Combine like terms: 9w + 3w = 12w 27 + 12w = -21 + -3w + 3w Combine like terms: -3w + 3w = 0 27 + 12w = -21 + 0 27 + 12w = -21 Add '-27' to each side of the equation. 27 + -27 + 12w = -21 + -27 Combine like terms: 27 + -27 = 0 0 + 12w = -21 + -27 12w = -21 + -27 Combine like terms: -21 + -27 = -48 12w = -48 Divide each side by '12'. w = -4 Simplifying w = -4
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