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Simplifying 9(w + -1) = 3w + 9 Reorder the terms: 9(-1 + w) = 3w + 9 (-1 * 9 + w * 9) = 3w + 9 (-9 + 9w) = 3w + 9 Reorder the terms: -9 + 9w = 9 + 3w Solving -9 + 9w = 9 + 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. -9 + 9w + -3w = 9 + 3w + -3w Combine like terms: 9w + -3w = 6w -9 + 6w = 9 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + 6w = 9 + 0 -9 + 6w = 9 Add '9' to each side of the equation. -9 + 9 + 6w = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 6w = 9 + 9 6w = 9 + 9 Combine like terms: 9 + 9 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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