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Simplifying (4w + -5) + (9w + 6) = 0 Reorder the terms: (-5 + 4w) + (9w + 6) = 0 Remove parenthesis around (-5 + 4w) -5 + 4w + (9w + 6) = 0 Reorder the terms: -5 + 4w + (6 + 9w) = 0 Remove parenthesis around (6 + 9w) -5 + 4w + 6 + 9w = 0 Reorder the terms: -5 + 6 + 4w + 9w = 0 Combine like terms: -5 + 6 = 1 1 + 4w + 9w = 0 Combine like terms: 4w + 9w = 13w 1 + 13w = 0 Solving 1 + 13w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 13w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 13w = 0 + -1 13w = 0 + -1 Combine like terms: 0 + -1 = -1 13w = -1 Divide each side by '13'. w = -0.07692307692 Simplifying w = -0.07692307692
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