Subtract "1/C" from each side of the equation: ____________________________________ 1/C + 1/m − 1/C = 1/z − 1/C ;
to get: 1/m = 1/z − 1/C ; ____________________________________ Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions: _________________
mzC {1/m = 1/z − 1/C} ;
to get: zC = mC − mz ;
Factor out an "m" on the "right-hand side" of the equation:
zC = m(C − z) ; Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;
zC / (C − z) = m(C − z) / m ; to get: 24/8 = 3 24
zC/ (C − z) = m ; ↔ m = zC/ (C − z) . ___________________________________________________