Solve for M
M=1+\frac{1}{m}
m\neq 0
Solve for m
m=\frac{1}{M-1}
M\neq 1
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mM-1=m
Multiply both sides of the equation by m.
mM=m+1
Add 1 to both sides.
\frac{mM}{m}=\frac{m+1}{m}
Divide both sides by m.
M=\frac{m+1}{m}
Dividing by m undoes the multiplication by m.
M=1+\frac{1}{m}
Divide m+1 by m.
mM-1=m
Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by m.
mM-1-m=0
Subtract m from both sides.
mM-m=1
Add 1 to both sides. Anything plus zero gives itself.
\left(M-1\right)m=1
Combine all terms containing m.
\frac{\left(M-1\right)m}{M-1}=\frac{1}{M-1}
Divide both sides by M-1.
m=\frac{1}{M-1}
Dividing by M-1 undoes the multiplication by M-1.
m=\frac{1}{M-1}\text{, }m\neq 0
Variable m cannot be equal to 0.
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