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Simplifying (2w + -9) + (4w + -5) = 0 Reorder the terms: (-9 + 2w) + (4w + -5) = 0 Remove parenthesis around (-9 + 2w) -9 + 2w + (4w + -5) = 0 Reorder the terms: -9 + 2w + (-5 + 4w) = 0 Remove parenthesis around (-5 + 4w) -9 + 2w + -5 + 4w = 0 Reorder the terms: -9 + -5 + 2w + 4w = 0 Combine like terms: -9 + -5 = -14 -14 + 2w + 4w = 0 Combine like terms: 2w + 4w = 6w -14 + 6w = 0 Solving -14 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 6w = 0 + 14 6w = 0 + 14 Combine like terms: 0 + 14 = 14 6w = 14 Divide each side by '6'. w = 2.333333333 Simplifying w = 2.333333333
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