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Simplifying 2 + -5(2w + -4) + w = 0 Reorder the terms: 2 + -5(-4 + 2w) + w = 0 2 + (-4 * -5 + 2w * -5) + w = 0 2 + (20 + -10w) + w = 0 Combine like terms: 2 + 20 = 22 22 + -10w + w = 0 Combine like terms: -10w + w = -9w 22 + -9w = 0 Solving 22 + -9w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -9w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -9w = 0 + -22 -9w = 0 + -22 Combine like terms: 0 + -22 = -22 -9w = -22 Divide each side by '-9'. w = 2.444444444 Simplifying w = 2.444444444
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