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Solve for m
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\sqrt{2}+2=8m+2
Multiply both sides of the equation by 2.
8m+2=\sqrt{2}+2
Swap sides so that all variable terms are on the left hand side.
8m=\sqrt{2}+2-2
Subtract 2 from both sides.
8m=\sqrt{2}
Subtract 2 from 2 to get 0.
\frac{8m}{8}=\frac{\sqrt{2}}{8}
Divide both sides by 8.
m=\frac{\sqrt{2}}{8}
Dividing by 8 undoes the multiplication by 8.