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Simplifying w + -6 + 7w = 42 Reorder the terms: -6 + w + 7w = 42 Combine like terms: w + 7w = 8w -6 + 8w = 42 Solving -6 + 8w = 42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8w = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 8w = 42 + 6 8w = 42 + 6 Combine like terms: 42 + 6 = 48 8w = 48 Divide each side by '8'. w = 6 Simplifying w = 6
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