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Simplifying -3(w + -9) = -8w + -16 + 3 Reorder the terms: -3(-9 + w) = -8w + -16 + 3 (-9 * -3 + w * -3) = -8w + -16 + 3 (27 + -3w) = -8w + -16 + 3 Reorder the terms: 27 + -3w = -16 + 3 + -8w Combine like terms: -16 + 3 = -13 27 + -3w = -13 + -8w Solving 27 + -3w = -13 + -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 + -3w + 8w = -13 + -8w + 8w Combine like terms: -3w + 8w = 5w 27 + 5w = -13 + -8w + 8w Combine like terms: -8w + 8w = 0 27 + 5w = -13 + 0 27 + 5w = -13 Add '-27' to each side of the equation. 27 + -27 + 5w = -13 + -27 Combine like terms: 27 + -27 = 0 0 + 5w = -13 + -27 5w = -13 + -27 Combine like terms: -13 + -27 = -40 5w = -40 Divide each side by '5'. w = -8 Simplifying w = -8
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