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Solve for Q
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\frac{Q}{m}=\frac{546J}{0.1g}
Cancel out k in both numerator and denominator.
\frac{1}{m}Q=\frac{5460J}{g}
The equation is in standard form.
\frac{\frac{1}{m}Qm}{1}=\frac{5460J}{g\times \frac{1}{m}}
Divide both sides by m^{-1}.
Q=\frac{5460J}{g\times \frac{1}{m}}
Dividing by m^{-1} undoes the multiplication by m^{-1}.
Q=\frac{5460Jm}{g}
Divide \frac{5460J}{g} by m^{-1}.