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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 = -4 -4 + 2w + -4w = 0 Combine like terms: 2w + -4w = -2w -4 + -2w = 0 Solving -4 + -2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2w = 0 + 4 -2w = 0 + 4 Combine like terms: 0 + 4 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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