Answer
$$R=4.8\ \Omega.$$
Work Step by Step
We have
$$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}=\frac{1}{8\ \Omega}+\frac{1}{12\ \Omega}=0.125+0.083=0.208$$
That is
$$R=\dfrac{1}{0.208}=4.8\ \Omega.$$
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