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 = 1.2z
0.6 + 1.2z = 6(z + 6.3)

Reorder the terms:
0.6 + 1.2z = 6(6.3 + z)
0.6 + 1.2z = (6.3 * 6 + z * 6)
0.6 + 1.2z = (37.8 + 6z)

Solving
0.6 + 1.2z = 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 + 1.2z + -6z = 37.8 + 6z + -6z

Combine like terms: 1.2z + -6z = -4.8z
0.6 + -4.8z = 37.8 + 6z + -6z

Combine like terms: 6z + -6z = 0
0.6 + -4.8z = 37.8 + 0
0.6 + -4.8z = 37.8

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -4.8z = 37.8 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -4.8z = 37.8 + -0.6
-4.8z = 37.8 + -0.6

Combine like terms: 37.8 + -0.6 = 37.2
-4.8z = 37.2

Divide each side by '-4.8'.
z = -7.75

Simplifying
z = -7.75