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Simplifying 13w + 11 = 9w + -5 Reorder the terms: 11 + 13w = 9w + -5 Reorder the terms: 11 + 13w = -5 + 9w Solving 11 + 13w = -5 + 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 + 13w + -9w = -5 + 9w + -9w Combine like terms: 13w + -9w = 4w 11 + 4w = -5 + 9w + -9w Combine like terms: 9w + -9w = 0 11 + 4w = -5 + 0 11 + 4w = -5 Add '-11' to each side of the equation. 11 + -11 + 4w = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 4w = -5 + -11 4w = -5 + -11 Combine like terms: -5 + -11 = -16 4w = -16 Divide each side by '4'. w = -4 Simplifying w = -4
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