-8z+6=30z-41

Solution for -8z+6=30z-41 equation:

Simplifying
-8z + 6 = 30z + -41

Reorder the terms:
6 + -8z = 30z + -41

Reorder the terms:
6 + -8z = -41 + 30z

Solving
6 + -8z = -41 + 30z

Solving for variable 'z'.

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

Add '-30z' to each side of the equation.
6 + -8z + -30z = -41 + 30z + -30z

Combine like terms: -8z + -30z = -38z
6 + -38z = -41 + 30z + -30z

Combine like terms: 30z + -30z = 0
6 + -38z = -41 + 0
6 + -38z = -41

Add '-6' to each side of the equation.
6 + -6 + -38z = -41 + -6

Combine like terms: 6 + -6 = 0
0 + -38z = -41 + -6
-38z = -41 + -6

Combine like terms: -41 + -6 = -47
-38z = -47

Divide each side by '-38'.
z = 1.236842105

Simplifying
z = 1.236842105