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Simplifying 3(w + 9) = -3w + -33 Reorder the terms: 3(9 + w) = -3w + -33 (9 * 3 + w * 3) = -3w + -33 (27 + 3w) = -3w + -33 Reorder the terms: 27 + 3w = -33 + -3w Solving 27 + 3w = -33 + -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 + 3w + 3w = -33 + -3w + 3w Combine like terms: 3w + 3w = 6w 27 + 6w = -33 + -3w + 3w Combine like terms: -3w + 3w = 0 27 + 6w = -33 + 0 27 + 6w = -33 Add '-27' to each side of the equation. 27 + -27 + 6w = -33 + -27 Combine like terms: 27 + -27 = 0 0 + 6w = -33 + -27 6w = -33 + -27 Combine like terms: -33 + -27 = -60 6w = -60 Divide each side by '6'. w = -10 Simplifying w = -10
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