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Simplifying 9(w + -3) = 6w + -9 Reorder the terms: 9(-3 + w) = 6w + -9 (-3 * 9 + w * 9) = 6w + -9 (-27 + 9w) = 6w + -9 Reorder the terms: -27 + 9w = -9 + 6w Solving -27 + 9w = -9 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -27 + 9w + -6w = -9 + 6w + -6w Combine like terms: 9w + -6w = 3w -27 + 3w = -9 + 6w + -6w Combine like terms: 6w + -6w = 0 -27 + 3w = -9 + 0 -27 + 3w = -9 Add '27' to each side of the equation. -27 + 27 + 3w = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 3w = -9 + 27 3w = -9 + 27 Combine like terms: -9 + 27 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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