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Simplifying -5 + 12w + 9 = 4w + 42 Reorder the terms: -5 + 9 + 12w = 4w + 42 Combine like terms: -5 + 9 = 4 4 + 12w = 4w + 42 Reorder the terms: 4 + 12w = 42 + 4w Solving 4 + 12w = 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. 4 + 12w + -4w = 42 + 4w + -4w Combine like terms: 12w + -4w = 8w 4 + 8w = 42 + 4w + -4w Combine like terms: 4w + -4w = 0 4 + 8w = 42 + 0 4 + 8w = 42 Add '-4' to each side of the equation. 4 + -4 + 8w = 42 + -4 Combine like terms: 4 + -4 = 0 0 + 8w = 42 + -4 8w = 42 + -4 Combine like terms: 42 + -4 = 38 8w = 38 Divide each side by '8'. w = 4.75 Simplifying w = 4.75
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