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Simplifying 5w + 41 = 3(w + 9) Reorder the terms: 41 + 5w = 3(w + 9) Reorder the terms: 41 + 5w = 3(9 + w) 41 + 5w = (9 * 3 + w * 3) 41 + 5w = (27 + 3w) Solving 41 + 5w = 27 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 41 + 5w + -3w = 27 + 3w + -3w Combine like terms: 5w + -3w = 2w 41 + 2w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 41 + 2w = 27 + 0 41 + 2w = 27 Add '-41' to each side of the equation. 41 + -41 + 2w = 27 + -41 Combine like terms: 41 + -41 = 0 0 + 2w = 27 + -41 2w = 27 + -41 Combine like terms: 27 + -41 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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