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Simplifying 6w + 11 = 9w + 2 Reorder the terms: 11 + 6w = 9w + 2 Reorder the terms: 11 + 6w = 2 + 9w Solving 11 + 6w = 2 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 11 + 6w + -9w = 2 + 9w + -9w Combine like terms: 6w + -9w = -3w 11 + -3w = 2 + 9w + -9w Combine like terms: 9w + -9w = 0 11 + -3w = 2 + 0 11 + -3w = 2 Add '-11' to each side of the equation. 11 + -11 + -3w = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -3w = 2 + -11 -3w = 2 + -11 Combine like terms: 2 + -11 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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