Solve for g
g=\frac{5m+6n}{7}
Solve for m
m=\frac{7g-6n}{5}
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7g=5m+6n
The equation is in standard form.
\frac{7g}{7}=\frac{5m+6n}{7}
Divide both sides by 7.
g=\frac{5m+6n}{7}
Dividing by 7 undoes the multiplication by 7.
5m+6n=7g
Swap sides so that all variable terms are on the left hand side.
5m=7g-6n
Subtract 6n from both sides.
\frac{5m}{5}=\frac{7g-6n}{5}
Divide both sides by 5.
m=\frac{7g-6n}{5}
Dividing by 5 undoes the multiplication by 5.
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