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Simplifying (2w + -9) = (-4w + -5) Reorder the terms: (-9 + 2w) = (-4w + -5) Remove parenthesis around (-9 + 2w) -9 + 2w = (-4w + -5) Reorder the terms: -9 + 2w = (-5 + -4w) Remove parenthesis around (-5 + -4w) -9 + 2w = -5 + -4w Solving -9 + 2w = -5 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -9 + 2w + 4w = -5 + -4w + 4w Combine like terms: 2w + 4w = 6w -9 + 6w = -5 + -4w + 4w Combine like terms: -4w + 4w = 0 -9 + 6w = -5 + 0 -9 + 6w = -5 Add '9' to each side of the equation. -9 + 9 + 6w = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 6w = -5 + 9 6w = -5 + 9 Combine like terms: -5 + 9 = 4 6w = 4 Divide each side by '6'. w = 0.6666666667 Simplifying w = 0.6666666667
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