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Simplifying 3(5w + 9) = -17 + 19w Reorder the terms: 3(9 + 5w) = -17 + 19w (9 * 3 + 5w * 3) = -17 + 19w (27 + 15w) = -17 + 19w Solving 27 + 15w = -17 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. 27 + 15w + -19w = -17 + 19w + -19w Combine like terms: 15w + -19w = -4w 27 + -4w = -17 + 19w + -19w Combine like terms: 19w + -19w = 0 27 + -4w = -17 + 0 27 + -4w = -17 Add '-27' to each side of the equation. 27 + -27 + -4w = -17 + -27 Combine like terms: 27 + -27 = 0 0 + -4w = -17 + -27 -4w = -17 + -27 Combine like terms: -17 + -27 = -44 -4w = -44 Divide each side by '-4'. w = 11 Simplifying w = 11
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