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Simplifying -5w + 12w + 9 = 4w + 42 Reorder the terms: 9 + -5w + 12w = 4w + 42 Combine like terms: -5w + 12w = 7w 9 + 7w = 4w + 42 Reorder the terms: 9 + 7w = 42 + 4w Solving 9 + 7w = 42 + 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 + 7w + -4w = 42 + 4w + -4w Combine like terms: 7w + -4w = 3w 9 + 3w = 42 + 4w + -4w Combine like terms: 4w + -4w = 0 9 + 3w = 42 + 0 9 + 3w = 42 Add '-9' to each side of the equation. 9 + -9 + 3w = 42 + -9 Combine like terms: 9 + -9 = 0 0 + 3w = 42 + -9 3w = 42 + -9 Combine like terms: 42 + -9 = 33 3w = 33 Divide each side by '3'. w = 11 Simplifying w = 11
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