Z-4.5z+0.6=1.9(z+6)

Solution for Z-4.5z+0.6=1.9(z+6) equation:

Simplifying
Z + -4.5z + 0.6 = 1.9(z + 6)

Reorder the terms:
0.6 + Z + -4.5z = 1.9(z + 6)

Reorder the terms:
0.6 + Z + -4.5z = 1.9(6 + z)
0.6 + Z + -4.5z = (6 * 1.9 + z * 1.9)
0.6 + Z + -4.5z = (11.4 + 1.9z)

Solving
0.6 + Z + -4.5z = 11.4 + 1.9z

Solving for variable 'Z'.

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

Add '-0.6' to each side of the equation.
0.6 + Z + -0.6 + -4.5z = 11.4 + -0.6 + 1.9z

Reorder the terms:
0.6 + -0.6 + Z + -4.5z = 11.4 + -0.6 + 1.9z

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + Z + -4.5z = 11.4 + -0.6 + 1.9z
Z + -4.5z = 11.4 + -0.6 + 1.9z

Combine like terms: 11.4 + -0.6 = 10.8
Z + -4.5z = 10.8 + 1.9z

Add '4.5z' to each side of the equation.
Z + -4.5z + 4.5z = 10.8 + 1.9z + 4.5z

Combine like terms: -4.5z + 4.5z = 0.0
Z + 0.0 = 10.8 + 1.9z + 4.5z
Z = 10.8 + 1.9z + 4.5z

Combine like terms: 1.9z + 4.5z = 6.4z
Z = 10.8 + 6.4z

Simplifying
Z = 10.8 + 6.4z