0.6(z-0.5)=-1.9(z-15)

Solution for 0.6(z-0.5)=-1.9(z-15) equation:

Simplifying
0.6(z + -0.5) = -1.9(z + -15)

Reorder the terms:
0.6(-0.5 + z) = -1.9(z + -15)
(-0.5 * 0.6 + z * 0.6) = -1.9(z + -15)
(-0.3 + 0.6z) = -1.9(z + -15)

Reorder the terms:
-0.3 + 0.6z = -1.9(-15 + z)
-0.3 + 0.6z = (-15 * -1.9 + z * -1.9)
-0.3 + 0.6z = (28.5 + -1.9z)

Solving
-0.3 + 0.6z = 28.5 + -1.9z

Solving for variable 'z'.

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

Add '1.9z' to each side of the equation.
-0.3 + 0.6z + 1.9z = 28.5 + -1.9z + 1.9z

Combine like terms: 0.6z + 1.9z = 2.5z
-0.3 + 2.5z = 28.5 + -1.9z + 1.9z

Combine like terms: -1.9z + 1.9z = 0.0
-0.3 + 2.5z = 28.5 + 0.0
-0.3 + 2.5z = 28.5

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 2.5z = 28.5 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 2.5z = 28.5 + 0.3
2.5z = 28.5 + 0.3

Combine like terms: 28.5 + 0.3 = 28.8
2.5z = 28.8

Divide each side by '2.5'.
z = 11.52

Simplifying
z = 11.52