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Solve for z
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5\left(z-1\right)=3\left(-1\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5z-5=3\left(-1\right)
Use the distributive property to multiply 5 by z-1.
5z-5=-3
Multiply 3 and -1 to get -3.
5z=-3+5
Add 5 to both sides.
5z=2
Add -3 and 5 to get 2.
z=\frac{2}{5}
Divide both sides by 5.