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Simplifying 11w + -2w + -2 = 5w + -6 Reorder the terms: -2 + 11w + -2w = 5w + -6 Combine like terms: 11w + -2w = 9w -2 + 9w = 5w + -6 Reorder the terms: -2 + 9w = -6 + 5w Solving -2 + 9w = -6 + 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. -2 + 9w + -5w = -6 + 5w + -5w Combine like terms: 9w + -5w = 4w -2 + 4w = -6 + 5w + -5w Combine like terms: 5w + -5w = 0 -2 + 4w = -6 + 0 -2 + 4w = -6 Add '2' to each side of the equation. -2 + 2 + 4w = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 4w = -6 + 2 4w = -6 + 2 Combine like terms: -6 + 2 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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