-10z-0.5=20z+1.6

Solution for -10z-0.5=20z+1.6 equation:

Simplifying
-10z + -0.5 = 20z + 1.6

Reorder the terms:
-0.5 + -10z = 20z + 1.6

Reorder the terms:
-0.5 + -10z = 1.6 + 20z

Solving
-0.5 + -10z = 1.6 + 20z

Solving for variable 'z'.

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

Add '-20z' to each side of the equation.
-0.5 + -10z + -20z = 1.6 + 20z + -20z

Combine like terms: -10z + -20z = -30z
-0.5 + -30z = 1.6 + 20z + -20z

Combine like terms: 20z + -20z = 0
-0.5 + -30z = 1.6 + 0
-0.5 + -30z = 1.6

Add '0.5' to each side of the equation.
-0.5 + 0.5 + -30z = 1.6 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -30z = 1.6 + 0.5
-30z = 1.6 + 0.5

Combine like terms: 1.6 + 0.5 = 2.1
-30z = 2.1

Divide each side by '-30'.
z = -0.07

Simplifying
z = -0.07