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Simplifying (2w + -9) + (-4w + -55) = 0 Reorder the terms: (-9 + 2w) + (-4w + -55) = 0 Remove parenthesis around (-9 + 2w) -9 + 2w + (-4w + -55) = 0 Reorder the terms: -9 + 2w + (-55 + -4w) = 0 Remove parenthesis around (-55 + -4w) -9 + 2w + -55 + -4w = 0 Reorder the terms: -9 + -55 + 2w + -4w = 0 Combine like terms: -9 + -55 = -64 -64 + 2w + -4w = 0 Combine like terms: 2w + -4w = -2w -64 + -2w = 0 Solving -64 + -2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -2w = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -2w = 0 + 64 -2w = 0 + 64 Combine like terms: 0 + 64 = 64 -2w = 64 Divide each side by '-2'. w = -32 Simplifying w = -32
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