-5.5z+2.1(3+6z)=18.3+19.1z

Solution for -5.5z+2.1(3+6z)=18.3+19.1z equation:

Simplifying
-5.5z + 2.1(3 + 6z) = 18.3 + 19.1z
-5.5z + (3 * 2.1 + 6z * 2.1) = 18.3 + 19.1z
-5.5z + (6.3 + 12.6z) = 18.3 + 19.1z

Reorder the terms:
6.3 + -5.5z + 12.6z = 18.3 + 19.1z

Combine like terms: -5.5z + 12.6z = 7.1z
6.3 + 7.1z = 18.3 + 19.1z

Solving
6.3 + 7.1z = 18.3 + 19.1z

Solving for variable 'z'.

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

Add '-19.1z' to each side of the equation.
6.3 + 7.1z + -19.1z = 18.3 + 19.1z + -19.1z

Combine like terms: 7.1z + -19.1z = -12z
6.3 + -12z = 18.3 + 19.1z + -19.1z

Combine like terms: 19.1z + -19.1z = 0.0
6.3 + -12z = 18.3 + 0.0
6.3 + -12z = 18.3

Add '-6.3' to each side of the equation.
6.3 + -6.3 + -12z = 18.3 + -6.3

Combine like terms: 6.3 + -6.3 = 0.0
0.0 + -12z = 18.3 + -6.3
-12z = 18.3 + -6.3

Combine like terms: 18.3 + -6.3 = 12
-12z = 12

Divide each side by '-12'.
z = -1

Simplifying
z = -1