2z-1=-3(z-1)

Solution for 2z-1=-3(z-1) equation:

Simplifying
2z + -1 = -3(z + -1)

Reorder the terms:
-1 + 2z = -3(z + -1)

Reorder the terms:
-1 + 2z = -3(-1 + z)
-1 + 2z = (-1 * -3 + z * -3)
-1 + 2z = (3 + -3z)

Solving
-1 + 2z = 3 + -3z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '3z' to each side of the equation.
-1 + 2z + 3z = 3 + -3z + 3z

Combine like terms: 2z + 3z = 5z
-1 + 5z = 3 + -3z + 3z

Combine like terms: -3z + 3z = 0
-1 + 5z = 3 + 0
-1 + 5z = 3

Add '1' to each side of the equation.
-1 + 1 + 5z = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 5z = 3 + 1
5z = 3 + 1

Combine like terms: 3 + 1 = 4
5z = 4

Divide each side by '5'.
z = 0.8

Simplifying
z = 0.8