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Simplifying 3w + 11 = 6 + -2w Reorder the terms: 11 + 3w = 6 + -2w Solving 11 + 3w = 6 + -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. 11 + 3w + 2w = 6 + -2w + 2w Combine like terms: 3w + 2w = 5w 11 + 5w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 11 + 5w = 6 + 0 11 + 5w = 6 Add '-11' to each side of the equation. 11 + -11 + 5w = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 5w = 6 + -11 5w = 6 + -11 Combine like terms: 6 + -11 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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