0.3(z-10)-0.52=-6

Solution for 0.3(z-10)-0.52=-6 equation:

Simplifying
0.3(z + -10) + -0.52 = -6

Reorder the terms:
0.3(-10 + z) + -0.52 = -6
(-10 * 0.3 + z * 0.3) + -0.52 = -6
(-3 + 0.3z) + -0.52 = -6

Reorder the terms:
-3 + -0.52 + 0.3z = -6

Combine like terms: -3 + -0.52 = -3.52
-3.52 + 0.3z = -6

Solving
-3.52 + 0.3z = -6

Solving for variable 'z'.

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

Add '3.52' to each side of the equation.
-3.52 + 3.52 + 0.3z = -6 + 3.52

Combine like terms: -3.52 + 3.52 = 0.00
0.00 + 0.3z = -6 + 3.52
0.3z = -6 + 3.52

Combine like terms: -6 + 3.52 = -2.48
0.3z = -2.48

Divide each side by '0.3'.
z = -8.266666667

Simplifying
z = -8.266666667