(z-2)+0.6(5z-1)=z+0.1

Solution for (z-2)+0.6(5z-1)=z+0.1 equation:

Simplifying
(z + -2) + 0.6(5z + -1) = z + 0.1

Reorder the terms:
(-2 + z) + 0.6(5z + -1) = z + 0.1

Remove parenthesis around (-2 + z)
-2 + z + 0.6(5z + -1) = z + 0.1

Reorder the terms:
-2 + z + 0.6(-1 + 5z) = z + 0.1
-2 + z + (-1 * 0.6 + 5z * 0.6) = z + 0.1
-2 + z + (-0.6 + 3z) = z + 0.1

Reorder the terms:
-2 + -0.6 + z + 3z = z + 0.1

Combine like terms: -2 + -0.6 = -2.6
-2.6 + z + 3z = z + 0.1

Combine like terms: z + 3z = 4z
-2.6 + 4z = z + 0.1

Reorder the terms:
-2.6 + 4z = 0.1 + z

Solving
-2.6 + 4z = 0.1 + 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.
-2.6 + 4z + -1z = 0.1 + z + -1z

Combine like terms: 4z + -1z = 3z
-2.6 + 3z = 0.1 + z + -1z

Combine like terms: z + -1z = 0
-2.6 + 3z = 0.1 + 0
-2.6 + 3z = 0.1

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 3z = 0.1 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 3z = 0.1 + 2.6
3z = 0.1 + 2.6

Combine like terms: 0.1 + 2.6 = 2.7
3z = 2.7

Divide each side by '3'.
z = 0.9

Simplifying
z = 0.9