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Simplifying (2w + -9) + -1(-4w + -5) = 0 Reorder the terms: (-9 + 2w) + -1(-4w + -5) = 0 Remove parenthesis around (-9 + 2w) -9 + 2w + -1(-4w + -5) = 0 Reorder the terms: -9 + 2w + -1(-5 + -4w) = 0 -9 + 2w + (-5 * -1 + -4w * -1) = 0 -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 = 6w -4 + 6w = 0 Solving -4 + 6w = 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 + 6w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6w = 0 + 4 6w = 0 + 4 Combine like terms: 0 + 4 = 4 6w = 4 Divide each side by '6'. w = 0.6666666667 Simplifying w = 0.6666666667
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