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1 solution
1) when both switches open
=>neglect R and find a current which passes 300 ohm, 1000 ohm, 50 ohm
2)when both switches closed
=>neglect 50 (ohm) resistor
find a current which passes 300 ohm, 1000 ohm, and R ( R and 1000 are in parallel)
and then find the value of R through algebraic calculations