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Solve for z
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1.2z+8=0.8z+3
Multiply 2 and 4 to get 8.
1.2z+8-0.8z=3
Subtract 0.8z from both sides.
0.4z+8=3
Combine 1.2z and -0.8z to get 0.4z.
0.4z=3-8
Subtract 8 from both sides.
0.4z=-5
Subtract 8 from 3 to get -5.
z=\frac{-5}{0.4}
Divide both sides by 0.4.
z=\frac{-50}{4}
Expand \frac{-5}{0.4} by multiplying both numerator and the denominator by 10.
z=-\frac{25}{2}
Reduce the fraction \frac{-50}{4} to lowest terms by extracting and canceling out 2.