Solve for a (complex solution)
\left\{\begin{matrix}a=-\frac{w-T}{m}\text{, }&m\neq 0\\a\in \mathrm{C}\text{, }&T=w\text{ and }m=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-\frac{w-T}{m}\text{, }&m\neq 0\\a\in \mathrm{R}\text{, }&T=w\text{ and }m=0\end{matrix}\right.
Solve for T
T=am+w
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w+ma=T
Swap sides so that all variable terms are on the left hand side.
ma=T-w
Subtract w from both sides.
\frac{ma}{m}=\frac{T-w}{m}
Divide both sides by m.
a=\frac{T-w}{m}
Dividing by m undoes the multiplication by m.
w+ma=T
Swap sides so that all variable terms are on the left hand side.
ma=T-w
Subtract w from both sides.
\frac{ma}{m}=\frac{T-w}{m}
Divide both sides by m.
a=\frac{T-w}{m}
Dividing by m undoes the multiplication by m.
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