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Simplifying 7w = w + 42 Reorder the terms: 7w = 42 + w Solving 7w = 42 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 7w + -1w = 42 + w + -1w Combine like terms: 7w + -1w = 6w 6w = 42 + w + -1w Combine like terms: w + -1w = 0 6w = 42 + 0 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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