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Simplifying 8w + 41 = -9(w + 3) Reorder the terms: 41 + 8w = -9(w + 3) Reorder the terms: 41 + 8w = -9(3 + w) 41 + 8w = (3 * -9 + w * -9) 41 + 8w = (-27 + -9w) Solving 41 + 8w = -27 + -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. 41 + 8w + 9w = -27 + -9w + 9w Combine like terms: 8w + 9w = 17w 41 + 17w = -27 + -9w + 9w Combine like terms: -9w + 9w = 0 41 + 17w = -27 + 0 41 + 17w = -27 Add '-41' to each side of the equation. 41 + -41 + 17w = -27 + -41 Combine like terms: 41 + -41 = 0 0 + 17w = -27 + -41 17w = -27 + -41 Combine like terms: -27 + -41 = -68 17w = -68 Divide each side by '17'. w = -4 Simplifying w = -4
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