-0.1(z-16)=0.2(z+0.5)

Solution for -0.1(z-16)=0.2(z+0.5) equation:

Simplifying
-0.1(z + -16) = 0.2(z + 0.5)

Reorder the terms:
-0.1(-16 + z) = 0.2(z + 0.5)
(-16 * -0.1 + z * -0.1) = 0.2(z + 0.5)
(1.6 + -0.1z) = 0.2(z + 0.5)

Reorder the terms:
1.6 + -0.1z = 0.2(0.5 + z)
1.6 + -0.1z = (0.5 * 0.2 + z * 0.2)
1.6 + -0.1z = (0.1 + 0.2z)

Solving
1.6 + -0.1z = 0.1 + 0.2z

Solving for variable 'z'.

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

Add '-0.2z' to each side of the equation.
1.6 + -0.1z + -0.2z = 0.1 + 0.2z + -0.2z

Combine like terms: -0.1z + -0.2z = -0.3z
1.6 + -0.3z = 0.1 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
1.6 + -0.3z = 0.1 + 0.0
1.6 + -0.3z = 0.1

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -0.3z = 0.1 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.3z = 0.1 + -1.6
-0.3z = 0.1 + -1.6

Combine like terms: 0.1 + -1.6 = -1.5
-0.3z = -1.5

Divide each side by '-0.3'.
z = 5

Simplifying
z = 5