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

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

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

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

Reorder the terms:
-1 + z = -3 + z + 3z

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

Solving
-1 + z = -3 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-1 + z + -4z = -3 + 4z + -4z

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

Combine like terms: 4z + -4z = 0
-1 + -3z = -3 + 0
-1 + -3z = -3

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

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

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

Divide each side by '-3'.
z = 0.6666666667

Simplifying
z = 0.6666666667