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Simplifying 3(w + -9) = -9w + 45 Reorder the terms: 3(-9 + w) = -9w + 45 (-9 * 3 + w * 3) = -9w + 45 (-27 + 3w) = -9w + 45 Reorder the terms: -27 + 3w = 45 + -9w Solving -27 + 3w = 45 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -27 + 3w + 9w = 45 + -9w + 9w Combine like terms: 3w + 9w = 12w -27 + 12w = 45 + -9w + 9w Combine like terms: -9w + 9w = 0 -27 + 12w = 45 + 0 -27 + 12w = 45 Add '27' to each side of the equation. -27 + 27 + 12w = 45 + 27 Combine like terms: -27 + 27 = 0 0 + 12w = 45 + 27 12w = 45 + 27 Combine like terms: 45 + 27 = 72 12w = 72 Divide each side by '12'. w = 6 Simplifying w = 6
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