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Simplifying -3(w + -9) = -5w + 23 Reorder the terms: -3(-9 + w) = -5w + 23 (-9 * -3 + w * -3) = -5w + 23 (27 + -3w) = -5w + 23 Reorder the terms: 27 + -3w = 23 + -5w Solving 27 + -3w = 23 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 27 + -3w + 5w = 23 + -5w + 5w Combine like terms: -3w + 5w = 2w 27 + 2w = 23 + -5w + 5w Combine like terms: -5w + 5w = 0 27 + 2w = 23 + 0 27 + 2w = 23 Add '-27' to each side of the equation. 27 + -27 + 2w = 23 + -27 Combine like terms: 27 + -27 = 0 0 + 2w = 23 + -27 2w = 23 + -27 Combine like terms: 23 + -27 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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