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Simplifying 117 = 403 + w Solving 117 = 403 + 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 = 403 + w + -1w Combine like terms: w + -1w = 0 117 + -1w = 403 + 0 117 + -1w = 403 Add '-117' to each side of the equation. 117 + -117 + -1w = 403 + -117 Combine like terms: 117 + -117 = 0 0 + -1w = 403 + -117 -1w = 403 + -117 Combine like terms: 403 + -117 = 286 -1w = 286 Divide each side by '-1'. w = -286 Simplifying w = -286
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