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Simplifying 9w + -8w + -11 = 5w + 13 Reorder the terms: -11 + 9w + -8w = 5w + 13 Combine like terms: 9w + -8w = 1w -11 + 1w = 5w + 13 Reorder the terms: -11 + 1w = 13 + 5w Solving -11 + 1w = 13 + 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. -11 + 1w + -5w = 13 + 5w + -5w Combine like terms: 1w + -5w = -4w -11 + -4w = 13 + 5w + -5w Combine like terms: 5w + -5w = 0 -11 + -4w = 13 + 0 -11 + -4w = 13 Add '11' to each side of the equation. -11 + 11 + -4w = 13 + 11 Combine like terms: -11 + 11 = 0 0 + -4w = 13 + 11 -4w = 13 + 11 Combine like terms: 13 + 11 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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