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2\times 2^{-2}+2=z
Subtract 2 from 0 to get -2.
2\times \frac{1}{4}+2=z
Calculate 2 to the power of -2 and get \frac{1}{4}.
\frac{1}{2}+2=z
Multiply 2 and \frac{1}{4} to get \frac{1}{2}.
\frac{5}{2}=z
Add \frac{1}{2} and 2 to get \frac{5}{2}.
z=\frac{5}{2}
Swap sides so that all variable terms are on the left hand side.