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Simplifying 5w = 42 + -2w Solving 5w = 42 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 5w + 2w = 42 + -2w + 2w Combine like terms: 5w + 2w = 7w 7w = 42 + -2w + 2w Combine like terms: -2w + 2w = 0 7w = 42 + 0 7w = 42 Divide each side by '7'. w = 6 Simplifying w = 6
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