Solve for a
a=-\frac{\sqrt{2}\left(m-8\right)}{2}
Solve for m
m=-\sqrt{2}a+8
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\sqrt{2}a=8-m
The equation is in standard form.
\frac{\sqrt{2}a}{\sqrt{2}}=\frac{8-m}{\sqrt{2}}
Divide both sides by \sqrt{2}.
a=\frac{8-m}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
a=\frac{\sqrt{2}\left(8-m\right)}{2}
Divide 8-m by \sqrt{2}.
8-m=\sqrt{2}a
Swap sides so that all variable terms are on the left hand side.
-m=\sqrt{2}a-8
Subtract 8 from both sides.
\frac{-m}{-1}=\frac{\sqrt{2}a-8}{-1}
Divide both sides by -1.
m=\frac{\sqrt{2}a-8}{-1}
Dividing by -1 undoes the multiplication by -1.
m=-\sqrt{2}a+8
Divide \sqrt{2}a-8 by -1.
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