(z-41)*2=z-45

Solution for (z-41)*2=z-45 equation:

Simplifying
(z + -41) * 2 = z + -45

Reorder the terms:
(-41 + z) * 2 = z + -45

Reorder the terms for easier multiplication:
2(-41 + z) = z + -45
(-41 * 2 + z * 2) = z + -45
(-82 + 2z) = z + -45

Reorder the terms:
-82 + 2z = -45 + z

Solving
-82 + 2z = -45 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-82 + 2z + -1z = -45 + z + -1z

Combine like terms: 2z + -1z = 1z
-82 + 1z = -45 + z + -1z

Combine like terms: z + -1z = 0
-82 + 1z = -45 + 0
-82 + 1z = -45

Add '82' to each side of the equation.
-82 + 82 + 1z = -45 + 82

Combine like terms: -82 + 82 = 0
0 + 1z = -45 + 82
1z = -45 + 82

Combine like terms: -45 + 82 = 37
1z = 37

Divide each side by '1'.
z = 37

Simplifying
z = 37