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\left(-k\right)x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
-kx=-6
Reorder the terms.
\left(-x\right)k=-6
The equation is in standard form.
\frac{\left(-x\right)k}{-x}=-\frac{6}{-x}
Divide both sides by -x.
k=-\frac{6}{-x}
Dividing by -x undoes the multiplication by -x.
k=\frac{6}{x}
Divide -6 by -x.
\left(-k\right)x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
\frac{\left(-k\right)x}{-k}=-\frac{6}{-k}
Divide both sides by -k.
x=-\frac{6}{-k}
Dividing by -k undoes the multiplication by -k.
x=\frac{6}{k}
Divide -6 by -k.