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Simplifying -8(w + -3) = 9w + 41 Reorder the terms: -8(-3 + w) = 9w + 41 (-3 * -8 + w * -8) = 9w + 41 (24 + -8w) = 9w + 41 Reorder the terms: 24 + -8w = 41 + 9w Solving 24 + -8w = 41 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 24 + -8w + -9w = 41 + 9w + -9w Combine like terms: -8w + -9w = -17w 24 + -17w = 41 + 9w + -9w Combine like terms: 9w + -9w = 0 24 + -17w = 41 + 0 24 + -17w = 41 Add '-24' to each side of the equation. 24 + -24 + -17w = 41 + -24 Combine like terms: 24 + -24 = 0 0 + -17w = 41 + -24 -17w = 41 + -24 Combine like terms: 41 + -24 = 17 -17w = 17 Divide each side by '-17'. w = -1 Simplifying w = -1
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