11.6+11z=6z(-8+3.4)

Solution for 11.6+11z=6z(-8+3.4) equation:

Simplifying
11.6 + 11z = 6z(-8 + 3.4)

Combine like terms: -8 + 3.4 = -4.6
11.6 + 11z = 6z(-4.6)

Reorder the terms for easier multiplication:
11.6 + 11z = 6 * -4.6z

Multiply 6 * -4.6
11.6 + 11z = -27.6z

Solving
11.6 + 11z = -27.6z

Solving for variable 'z'.

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

Add '27.6z' to each side of the equation.
11.6 + 11z + 27.6z = -27.6z + 27.6z

Combine like terms: 11z + 27.6z = 38.6z
11.6 + 38.6z = -27.6z + 27.6z

Combine like terms: -27.6z + 27.6z = 0.0
11.6 + 38.6z = 0.0

Add '-11.6' to each side of the equation.
11.6 + -11.6 + 38.6z = 0.0 + -11.6

Combine like terms: 11.6 + -11.6 = 0.0
0.0 + 38.6z = 0.0 + -11.6
38.6z = 0.0 + -11.6

Combine like terms: 0.0 + -11.6 = -11.6
38.6z = -11.6

Divide each side by '38.6'.
z = -0.3005181347

Simplifying
z = -0.3005181347