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Simplifying (4w + -5) + (9w + 2) = 0 Reorder the terms: (-5 + 4w) + (9w + 2) = 0 Remove parenthesis around (-5 + 4w) -5 + 4w + (9w + 2) = 0 Reorder the terms: -5 + 4w + (2 + 9w) = 0 Remove parenthesis around (2 + 9w) -5 + 4w + 2 + 9w = 0 Reorder the terms: -5 + 2 + 4w + 9w = 0 Combine like terms: -5 + 2 = -3 -3 + 4w + 9w = 0 Combine like terms: 4w + 9w = 13w -3 + 13w = 0 Solving -3 + 13w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 13w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 13w = 0 + 3 13w = 0 + 3 Combine like terms: 0 + 3 = 3 13w = 3 Divide each side by '13'. w = 0.2307692308 Simplifying w = 0.2307692308
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