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Simplifying 10w + -1 = 5 + -9w + -2w Reorder the terms: -1 + 10w = 5 + -9w + -2w Combine like terms: -9w + -2w = -11w -1 + 10w = 5 + -11w Solving -1 + 10w = 5 + -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. -1 + 10w + 11w = 5 + -11w + 11w Combine like terms: 10w + 11w = 21w -1 + 21w = 5 + -11w + 11w Combine like terms: -11w + 11w = 0 -1 + 21w = 5 + 0 -1 + 21w = 5 Add '1' to each side of the equation. -1 + 1 + 21w = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 21w = 5 + 1 21w = 5 + 1 Combine like terms: 5 + 1 = 6 21w = 6 Divide each side by '21'. w = 0.2857142857 Simplifying w = 0.2857142857
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