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Simplifying 117 = w + -83 Reorder the terms: 117 = -83 + w Solving 117 = -83 + 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. 117 + -1w = -83 + w + -1w Combine like terms: w + -1w = 0 117 + -1w = -83 + 0 117 + -1w = -83 Add '-117' to each side of the equation. 117 + -117 + -1w = -83 + -117 Combine like terms: 117 + -117 = 0 0 + -1w = -83 + -117 -1w = -83 + -117 Combine like terms: -83 + -117 = -200 -1w = -200 Divide each side by '-1'. w = 200 Simplifying w = 200
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