Solve for a
a=\frac{70}{m-2}
m\neq 2
Solve for m
m=2+\frac{70}{a}
a\neq 0
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\left(18m-36\right)a=1260
Use the distributive property to multiply m-2 by 18.
\frac{\left(18m-36\right)a}{18m-36}=\frac{1260}{18m-36}
Divide both sides by 18m-36.
a=\frac{1260}{18m-36}
Dividing by 18m-36 undoes the multiplication by 18m-36.
a=\frac{70}{m-2}
Divide 1260 by 18m-36.
\left(18m-36\right)a=1260
Use the distributive property to multiply m-2 by 18.
18ma-36a=1260
Use the distributive property to multiply 18m-36 by a.
18ma=1260+36a
Add 36a to both sides.
18am=36a+1260
The equation is in standard form.
\frac{18am}{18a}=\frac{36a+1260}{18a}
Divide both sides by 18a.
m=\frac{36a+1260}{18a}
Dividing by 18a undoes the multiplication by 18a.
m=2+\frac{70}{a}
Divide 1260+36a by 18a.
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