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Simplifying 7(w + -92) = 42 Reorder the terms: 7(-92 + w) = 42 (-92 * 7 + w * 7) = 42 (-644 + 7w) = 42 Solving -644 + 7w = 42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '644' to each side of the equation. -644 + 644 + 7w = 42 + 644 Combine like terms: -644 + 644 = 0 0 + 7w = 42 + 644 7w = 42 + 644 Combine like terms: 42 + 644 = 686 7w = 686 Divide each side by '7'. w = 98 Simplifying w = 98
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