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6x+48=z
Use the distributive property to multiply 6 by x+8.
6x=z-48
Subtract 48 from both sides.
\frac{6x}{6}=\frac{z-48}{6}
Divide both sides by 6.
x=\frac{z-48}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{z}{6}-8
Divide z-48 by 6.
6x+48=z
Use the distributive property to multiply 6 by x+8.
z=6x+48
Swap sides so that all variable terms are on the left hand side.