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Simplifying 9(w + -3) = 8(2 + w) Reorder the terms: 9(-3 + w) = 8(2 + w) (-3 * 9 + w * 9) = 8(2 + w) (-27 + 9w) = 8(2 + w) -27 + 9w = (2 * 8 + w * 8) -27 + 9w = (16 + 8w) Solving -27 + 9w = 16 + 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 = 16 + 8w + -8w Combine like terms: 9w + -8w = 1w -27 + 1w = 16 + 8w + -8w Combine like terms: 8w + -8w = 0 -27 + 1w = 16 + 0 -27 + 1w = 16 Add '27' to each side of the equation. -27 + 27 + 1w = 16 + 27 Combine like terms: -27 + 27 = 0 0 + 1w = 16 + 27 1w = 16 + 27 Combine like terms: 16 + 27 = 43 1w = 43 Divide each side by '1'. w = 43 Simplifying w = 43
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