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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 = -2w -14 + -2w = 0 Solving -14 + -2w = 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 + -2w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = 0 + 14 -2w = 0 + 14 Combine like terms: 0 + 14 = 14 -2w = 14 Divide each side by '-2'. w = -7 Simplifying w = -7
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