Solve for T
T=w-am
Solve for a
\left\{\begin{matrix}a=-\frac{T-w}{m}\text{, }&m\neq 0\\a\in \mathrm{R}\text{, }&T=w\text{ and }m=0\end{matrix}\right.
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-T=am-w
The equation is in standard form.
\frac{-T}{-1}=\frac{am-w}{-1}
Divide both sides by -1.
T=\frac{am-w}{-1}
Dividing by -1 undoes the multiplication by -1.
T=w-am
Divide ma-w by -1.
ma-w=-T
Swap sides so that all variable terms are on the left hand side.
ma=-T+w
Add w to both sides.
ma=w-T
The equation is in standard form.
\frac{ma}{m}=\frac{w-T}{m}
Divide both sides by m.
a=\frac{w-T}{m}
Dividing by m undoes the multiplication by m.
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