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Simplifying 3(w + -9) = 9w + 12 Reorder the terms: 3(-9 + w) = 9w + 12 (-9 * 3 + w * 3) = 9w + 12 (-27 + 3w) = 9w + 12 Reorder the terms: -27 + 3w = 12 + 9w Solving -27 + 3w = 12 + 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 = 12 + 9w + -9w Combine like terms: 3w + -9w = -6w -27 + -6w = 12 + 9w + -9w Combine like terms: 9w + -9w = 0 -27 + -6w = 12 + 0 -27 + -6w = 12 Add '27' to each side of the equation. -27 + 27 + -6w = 12 + 27 Combine like terms: -27 + 27 = 0 0 + -6w = 12 + 27 -6w = 12 + 27 Combine like terms: 12 + 27 = 39 -6w = 39 Divide each side by '-6'. w = -6.5 Simplifying w = -6.5
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