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Simplifying 9w + 7 = 4w + 42 Reorder the terms: 7 + 9w = 4w + 42 Reorder the terms: 7 + 9w = 42 + 4w Solving 7 + 9w = 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. 7 + 9w + -4w = 42 + 4w + -4w Combine like terms: 9w + -4w = 5w 7 + 5w = 42 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + 5w = 42 + 0 7 + 5w = 42 Add '-7' to each side of the equation. 7 + -7 + 5w = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5w = 42 + -7 5w = 42 + -7 Combine like terms: 42 + -7 = 35 5w = 35 Divide each side by '5'. w = 7 Simplifying w = 7
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