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Simplifying 6 = 2w + 41 + 3w Reorder the terms: 6 = 41 + 2w + 3w Combine like terms: 2w + 3w = 5w 6 = 41 + 5w Solving 6 = 41 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 6 + -5w = 41 + 5w + -5w Combine like terms: 5w + -5w = 0 6 + -5w = 41 + 0 6 + -5w = 41 Add '-6' to each side of the equation. 6 + -6 + -5w = 41 + -6 Combine like terms: 6 + -6 = 0 0 + -5w = 41 + -6 -5w = 41 + -6 Combine like terms: 41 + -6 = 35 -5w = 35 Divide each side by '-5'. w = -7 Simplifying w = -7
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