0.3(z-10)-0.5z=-6

Solution for 0.3(z-10)-0.5z=-6 equation:

Simplifying
0.3(z + -10) + -0.5z = -6

Reorder the terms:
0.3(-10 + z) + -0.5z = -6
(-10 * 0.3 + z * 0.3) + -0.5z = -6
(-3 + 0.3z) + -0.5z = -6

Combine like terms: 0.3z + -0.5z = -0.2z
-3 + -0.2z = -6

Solving
-3 + -0.2z = -6

Solving for variable 'z'.

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

Add '3' to each side of the equation.
-3 + 3 + -0.2z = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -0.2z = -6 + 3
-0.2z = -6 + 3

Combine like terms: -6 + 3 = -3
-0.2z = -3

Divide each side by '-0.2'.
z = 15

Simplifying
z = 15