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