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Simplifying 9w + 8 + -2w = 4w + -22 Reorder the terms: 8 + 9w + -2w = 4w + -22 Combine like terms: 9w + -2w = 7w 8 + 7w = 4w + -22 Reorder the terms: 8 + 7w = -22 + 4w Solving 8 + 7w = -22 + 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. 8 + 7w + -4w = -22 + 4w + -4w Combine like terms: 7w + -4w = 3w 8 + 3w = -22 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + 3w = -22 + 0 8 + 3w = -22 Add '-8' to each side of the equation. 8 + -8 + 3w = -22 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = -22 + -8 3w = -22 + -8 Combine like terms: -22 + -8 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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