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6x+100=k
Swap sides so that all variable terms are on the left hand side.
6x=k-100
Subtract 100 from both sides.
\frac{6x}{6}=\frac{k-100}{6}
Divide both sides by 6.
x=\frac{k-100}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{k}{6}-\frac{50}{3}
Divide k-100 by 6.