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Simplifying 7w + 1 = 2w + 41 Reorder the terms: 1 + 7w = 2w + 41 Reorder the terms: 1 + 7w = 41 + 2w Solving 1 + 7w = 41 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 1 + 7w + -2w = 41 + 2w + -2w Combine like terms: 7w + -2w = 5w 1 + 5w = 41 + 2w + -2w Combine like terms: 2w + -2w = 0 1 + 5w = 41 + 0 1 + 5w = 41 Add '-1' to each side of the equation. 1 + -1 + 5w = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 5w = 41 + -1 5w = 41 + -1 Combine like terms: 41 + -1 = 40 5w = 40 Divide each side by '5'. w = 8 Simplifying w = 8
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