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Simplifying w + -2 + 2w = 6w + 5w Reorder the terms: -2 + w + 2w = 6w + 5w Combine like terms: w + 2w = 3w -2 + 3w = 6w + 5w Combine like terms: 6w + 5w = 11w -2 + 3w = 11w Solving -2 + 3w = 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -2 + 3w + -11w = 11w + -11w Combine like terms: 3w + -11w = -8w -2 + -8w = 11w + -11w Combine like terms: 11w + -11w = 0 -2 + -8w = 0 Add '2' to each side of the equation. -2 + 2 + -8w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -8w = 0 + 2 -8w = 0 + 2 Combine like terms: 0 + 2 = 2 -8w = 2 Divide each side by '-8'. w = -0.25 Simplifying w = -0.25
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