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Simplifying 9(w + -1) = 3(w + 2) Reorder the terms: 9(-1 + w) = 3(w + 2) (-1 * 9 + w * 9) = 3(w + 2) (-9 + 9w) = 3(w + 2) Reorder the terms: -9 + 9w = 3(2 + w) -9 + 9w = (2 * 3 + w * 3) -9 + 9w = (6 + 3w) Solving -9 + 9w = 6 + 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 = 6 + 3w + -3w Combine like terms: 9w + -3w = 6w -9 + 6w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + 6w = 6 + 0 -9 + 6w = 6 Add '9' to each side of the equation. -9 + 9 + 6w = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 6w = 6 + 9 6w = 6 + 9 Combine like terms: 6 + 9 = 15 6w = 15 Divide each side by '6'. w = 2.5 Simplifying w = 2.5
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