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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 = 7 7 + 4w + 9w = 0 Combine like terms: 4w + 9w = 13w 7 + 13w = 0 Solving 7 + 13w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 13w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 13w = 0 + -7 13w = 0 + -7 Combine like terms: 0 + -7 = -7 13w = -7 Divide each side by '13'. w = -0.5384615385 Simplifying w = -0.5384615385
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