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Simplifying ux + rx = w Reorder the terms: rx + ux = w Solving rx + ux = w Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1ux' to each side of the equation. rx + ux + -1ux = -1ux + w Combine like terms: ux + -1ux = 0 rx + 0 = -1ux + w rx = -1ux + w Divide each side by 'x'. r = -1u + wx-1 Simplifying r = -1u + wx-1
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