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Simplifying (2w + -9) + -9(-4w + -5) = 0 Reorder the terms: (-9 + 2w) + -9(-4w + -5) = 0 Remove parenthesis around (-9 + 2w) -9 + 2w + -9(-4w + -5) = 0 Reorder the terms: -9 + 2w + -9(-5 + -4w) = 0 -9 + 2w + (-5 * -9 + -4w * -9) = 0 -9 + 2w + (45 + 36w) = 0 Reorder the terms: -9 + 45 + 2w + 36w = 0 Combine like terms: -9 + 45 = 36 36 + 2w + 36w = 0 Combine like terms: 2w + 36w = 38w 36 + 38w = 0 Solving 36 + 38w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 38w = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 38w = 0 + -36 38w = 0 + -36 Combine like terms: 0 + -36 = -36 38w = -36 Divide each side by '38'. w = -0.9473684211 Simplifying w = -0.9473684211
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