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Simplifying 2w + 11 = 7w + 41 Reorder the terms: 11 + 2w = 7w + 41 Reorder the terms: 11 + 2w = 41 + 7w Solving 11 + 2w = 41 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 11 + 2w + -7w = 41 + 7w + -7w Combine like terms: 2w + -7w = -5w 11 + -5w = 41 + 7w + -7w Combine like terms: 7w + -7w = 0 11 + -5w = 41 + 0 11 + -5w = 41 Add '-11' to each side of the equation. 11 + -11 + -5w = 41 + -11 Combine like terms: 11 + -11 = 0 0 + -5w = 41 + -11 -5w = 41 + -11 Combine like terms: 41 + -11 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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