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Simplifying 8w + 7 = 41 + -9w Reorder the terms: 7 + 8w = 41 + -9w Solving 7 + 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. 7 + 8w + 9w = 41 + -9w + 9w Combine like terms: 8w + 9w = 17w 7 + 17w = 41 + -9w + 9w Combine like terms: -9w + 9w = 0 7 + 17w = 41 + 0 7 + 17w = 41 Add '-7' to each side of the equation. 7 + -7 + 17w = 41 + -7 Combine like terms: 7 + -7 = 0 0 + 17w = 41 + -7 17w = 41 + -7 Combine like terms: 41 + -7 = 34 17w = 34 Divide each side by '17'. w = 2 Simplifying w = 2
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