Solve for A
\left\{\begin{matrix}A=\frac{C_{e}}{Th_{C}t\Delta }\text{, }&T\neq 0\text{ and }\Delta \neq 0\text{ and }t\neq 0\text{ and }h_{C}\neq 0\\A\in \mathrm{R}\text{, }&\left(T=0\text{ or }\Delta =0\text{ or }t=0\text{ or }h_{C}=0\right)\text{ and }C_{e}=0\end{matrix}\right.
Solve for C_e
C_{e}=ATh_{C}t\Delta
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h_{C}At\Delta T=C_{e}
Swap sides so that all variable terms are on the left hand side.
Th_{C}t\Delta A=C_{e}
The equation is in standard form.
\frac{Th_{C}t\Delta A}{Th_{C}t\Delta }=\frac{C_{e}}{Th_{C}t\Delta }
Divide both sides by h_{C}t\Delta T.
A=\frac{C_{e}}{Th_{C}t\Delta }
Dividing by h_{C}t\Delta T undoes the multiplication by h_{C}t\Delta T.
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