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

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

Simplifying
11.6 + 11z = 6z + -1(-8z + 3.4)

Reorder the terms:
11.6 + 11z = 6z + -1(3.4 + -8z)
11.6 + 11z = 6z + (3.4 * -1 + -8z * -1)
11.6 + 11z = 6z + (-3.4 + 8z)

Reorder the terms:
11.6 + 11z = -3.4 + 6z + 8z

Combine like terms: 6z + 8z = 14z
11.6 + 11z = -3.4 + 14z

Solving
11.6 + 11z = -3.4 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
11.6 + 11z + -14z = -3.4 + 14z + -14z

Combine like terms: 11z + -14z = -3z
11.6 + -3z = -3.4 + 14z + -14z

Combine like terms: 14z + -14z = 0
11.6 + -3z = -3.4 + 0
11.6 + -3z = -3.4

Add '-11.6' to each side of the equation.
11.6 + -11.6 + -3z = -3.4 + -11.6

Combine like terms: 11.6 + -11.6 = 0.0
0.0 + -3z = -3.4 + -11.6
-3z = -3.4 + -11.6

Combine like terms: -3.4 + -11.6 = -15
-3z = -15

Divide each side by '-3'.
z = 5

Simplifying
z = 5