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Simplifying -674 = 7w + 187 Reorder the terms: -674 = 187 + 7w Solving -674 = 187 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -674 + -7w = 187 + 7w + -7w Combine like terms: 7w + -7w = 0 -674 + -7w = 187 + 0 -674 + -7w = 187 Add '674' to each side of the equation. -674 + 674 + -7w = 187 + 674 Combine like terms: -674 + 674 = 0 0 + -7w = 187 + 674 -7w = 187 + 674 Combine like terms: 187 + 674 = 861 -7w = 861 Divide each side by '-7'. w = -123 Simplifying w = -123
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