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Simplifying (5w + -9) + (-4w + -5) = 0 Reorder the terms: (-9 + 5w) + (-4w + -5) = 0 Remove parenthesis around (-9 + 5w) -9 + 5w + (-4w + -5) = 0 Reorder the terms: -9 + 5w + (-5 + -4w) = 0 Remove parenthesis around (-5 + -4w) -9 + 5w + -5 + -4w = 0 Reorder the terms: -9 + -5 + 5w + -4w = 0 Combine like terms: -9 + -5 = -14 -14 + 5w + -4w = 0 Combine like terms: 5w + -4w = 1w -14 + 1w = 0 Solving -14 + 1w = 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 + 1w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1w = 0 + 14 1w = 0 + 14 Combine like terms: 0 + 14 = 14 1w = 14 Divide each side by '1'. w = 14 Simplifying w = 14
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