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8x=40-5z
Subtract 5z from both sides.
\frac{8x}{8}=\frac{40-5z}{8}
Divide both sides by 8.
x=\frac{40-5z}{8}
Dividing by 8 undoes the multiplication by 8.
x=-\frac{5z}{8}+5
Divide 40-5z by 8.
5z=40-8x
Subtract 8x from both sides.
\frac{5z}{5}=\frac{40-8x}{5}
Divide both sides by 5.
z=\frac{40-8x}{5}
Dividing by 5 undoes the multiplication by 5.
z=-\frac{8x}{5}+8
Divide 40-8x by 5.