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Solve for z_1
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1200=40\left(z_{1}-20\right)
Multiply 5 and 8 to get 40.
1200=40z_{1}-800
Use the distributive property to multiply 40 by z_{1}-20.
40z_{1}-800=1200
Swap sides so that all variable terms are on the left hand side.
40z_{1}=1200+800
Add 800 to both sides.
40z_{1}=2000
Add 1200 and 800 to get 2000.
z_{1}=\frac{2000}{40}
Divide both sides by 40.
z_{1}=50
Divide 2000 by 40 to get 50.