1.1(z-12)=-0.4(z-1.5)

Solution for 1.1(z-12)=-0.4(z-1.5) equation:

Simplifying
1.1(z + -12) = -0.4(z + -1.5)

Reorder the terms:
1.1(-12 + z) = -0.4(z + -1.5)
(-12 * 1.1 + z * 1.1) = -0.4(z + -1.5)
(-13.2 + 1.1z) = -0.4(z + -1.5)

Reorder the terms:
-13.2 + 1.1z = -0.4(-1.5 + z)
-13.2 + 1.1z = (-1.5 * -0.4 + z * -0.4)
-13.2 + 1.1z = (0.6 + -0.4z)

Solving
-13.2 + 1.1z = 0.6 + -0.4z

Solving for variable 'z'.

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

Add '0.4z' to each side of the equation.
-13.2 + 1.1z + 0.4z = 0.6 + -0.4z + 0.4z

Combine like terms: 1.1z + 0.4z = 1.5z
-13.2 + 1.5z = 0.6 + -0.4z + 0.4z

Combine like terms: -0.4z + 0.4z = 0.0
-13.2 + 1.5z = 0.6 + 0.0
-13.2 + 1.5z = 0.6

Add '13.2' to each side of the equation.
-13.2 + 13.2 + 1.5z = 0.6 + 13.2

Combine like terms: -13.2 + 13.2 = 0.0
0.0 + 1.5z = 0.6 + 13.2
1.5z = 0.6 + 13.2

Combine like terms: 0.6 + 13.2 = 13.8
1.5z = 13.8

Divide each side by '1.5'.
z = 9.2

Simplifying
z = 9.2