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

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

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

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

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

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

Solving for variable 'z'.

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

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

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

Combine like terms: -2z + 2z = 0
3 + -1z = -1 + 0
3 + -1z = -1

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

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

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

Divide each side by '-1'.
z = 4

Simplifying
z = 4