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Simplifying 9 = 8w + 45 + -12w Reorder the terms: 9 = 45 + 8w + -12w Combine like terms: 8w + -12w = -4w 9 = 45 + -4w Solving 9 = 45 + -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 + 4w = 45 + -4w + 4w Combine like terms: -4w + 4w = 0 9 + 4w = 45 + 0 9 + 4w = 45 Add '-9' to each side of the equation. 9 + -9 + 4w = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 4w = 45 + -9 4w = 45 + -9 Combine like terms: 45 + -9 = 36 4w = 36 Divide each side by '4'. w = 9 Simplifying w = 9
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