-6(z-1)=-5(z-2)

Solution for -6(z-1)=-5(z-2) equation:

Simplifying
-6(z + -1) = -5(z + -2)

Reorder the terms:
-6(-1 + z) = -5(z + -2)
(-1 * -6 + z * -6) = -5(z + -2)
(6 + -6z) = -5(z + -2)

Reorder the terms:
6 + -6z = -5(-2 + z)
6 + -6z = (-2 * -5 + z * -5)
6 + -6z = (10 + -5z)

Solving
6 + -6z = 10 + -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
6 + -6z + 5z = 10 + -5z + 5z

Combine like terms: -6z + 5z = -1z
6 + -1z = 10 + -5z + 5z

Combine like terms: -5z + 5z = 0
6 + -1z = 10 + 0
6 + -1z = 10

Add '-6' to each side of the equation.
6 + -6 + -1z = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = 10 + -6
-1z = 10 + -6

Combine like terms: 10 + -6 = 4
-1z = 4

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

Simplifying
z = -4