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Simplifying 9(w + -3) = 8w + -3 Reorder the terms: 9(-3 + w) = 8w + -3 (-3 * 9 + w * 9) = 8w + -3 (-27 + 9w) = 8w + -3 Reorder the terms: -27 + 9w = -3 + 8w Solving -27 + 9w = -3 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -27 + 9w + -8w = -3 + 8w + -8w Combine like terms: 9w + -8w = 1w -27 + 1w = -3 + 8w + -8w Combine like terms: 8w + -8w = 0 -27 + 1w = -3 + 0 -27 + 1w = -3 Add '27' to each side of the equation. -27 + 27 + 1w = -3 + 27 Combine like terms: -27 + 27 = 0 0 + 1w = -3 + 27 1w = -3 + 27 Combine like terms: -3 + 27 = 24 1w = 24 Divide each side by '1'. w = 24 Simplifying w = 24
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