z-1.1z+6=-0.8(z-4)

Solution for z-1.1z+6=-0.8(z-4) equation:

Simplifying
z + -1.1z + 6 = -0.8(z + -4)

Reorder the terms:
6 + z + -1.1z = -0.8(z + -4)

Combine like terms: z + -1.1z = -0.1z
6 + -0.1z = -0.8(z + -4)

Reorder the terms:
6 + -0.1z = -0.8(-4 + z)
6 + -0.1z = (-4 * -0.8 + z * -0.8)
6 + -0.1z = (3.2 + -0.8z)

Solving
6 + -0.1z = 3.2 + -0.8z

Solving for variable 'z'.

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

Add '0.8z' to each side of the equation.
6 + -0.1z + 0.8z = 3.2 + -0.8z + 0.8z

Combine like terms: -0.1z + 0.8z = 0.7z
6 + 0.7z = 3.2 + -0.8z + 0.8z

Combine like terms: -0.8z + 0.8z = 0.0
6 + 0.7z = 3.2 + 0.0
6 + 0.7z = 3.2

Add '-6' to each side of the equation.
6 + -6 + 0.7z = 3.2 + -6

Combine like terms: 6 + -6 = 0
0 + 0.7z = 3.2 + -6
0.7z = 3.2 + -6

Combine like terms: 3.2 + -6 = -2.8
0.7z = -2.8

Divide each side by '0.7'.
z = -4

Simplifying
z = -4