z-0.2z+0.6=6(z-6.3)

Solution for z-0.2z+0.6=6(z-6.3) equation:

Simplifying
z + -0.2z + 0.6 = 6(z + -6.3)

Reorder the terms:
0.6 + z + -0.2z = 6(z + -6.3)

Combine like terms: z + -0.2z = 0.8z
0.6 + 0.8z = 6(z + -6.3)

Reorder the terms:
0.6 + 0.8z = 6(-6.3 + z)
0.6 + 0.8z = (-6.3 * 6 + z * 6)
0.6 + 0.8z = (-37.8 + 6z)

Solving
0.6 + 0.8z = -37.8 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
0.6 + 0.8z + -6z = -37.8 + 6z + -6z

Combine like terms: 0.8z + -6z = -5.2z
0.6 + -5.2z = -37.8 + 6z + -6z

Combine like terms: 6z + -6z = 0
0.6 + -5.2z = -37.8 + 0
0.6 + -5.2z = -37.8

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -5.2z = -37.8 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -5.2z = -37.8 + -0.6
-5.2z = -37.8 + -0.6

Combine like terms: -37.8 + -0.6 = -38.4
-5.2z = -38.4

Divide each side by '-5.2'.
z = 7.384615385

Simplifying
z = 7.384615385