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Simplifying 9(w + 3) = -4w + 40 Reorder the terms: 9(3 + w) = -4w + 40 (3 * 9 + w * 9) = -4w + 40 (27 + 9w) = -4w + 40 Reorder the terms: 27 + 9w = 40 + -4w Solving 27 + 9w = 40 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 27 + 9w + 4w = 40 + -4w + 4w Combine like terms: 9w + 4w = 13w 27 + 13w = 40 + -4w + 4w Combine like terms: -4w + 4w = 0 27 + 13w = 40 + 0 27 + 13w = 40 Add '-27' to each side of the equation. 27 + -27 + 13w = 40 + -27 Combine like terms: 27 + -27 = 0 0 + 13w = 40 + -27 13w = 40 + -27 Combine like terms: 40 + -27 = 13 13w = 13 Divide each side by '13'. w = 1 Simplifying w = 1
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