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Solve for z
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2z-0.5=2.5-z+4
Combine z and z to get 2z.
2z-0.5=6.5-z
Add 2.5 and 4 to get 6.5.
2z-0.5+z=6.5
Add z to both sides.
3z-0.5=6.5
Combine 2z and z to get 3z.
3z=6.5+0.5
Add 0.5 to both sides.
3z=7
Add 6.5 and 0.5 to get 7.
z=\frac{7}{3}
Divide both sides by 3.