.7z+1.89+0.1z=5.5-0.4z

Solution for .7z+1.89+0.1z=5.5-0.4z equation:

Simplifying
0.7z + 1.89 + 0.1z = 5.5 + -0.4z

Reorder the terms:
1.89 + 0.7z + 0.1z = 5.5 + -0.4z

Combine like terms: 0.7z + 0.1z = 0.8z
1.89 + 0.8z = 5.5 + -0.4z

Solving
1.89 + 0.8z = 5.5 + -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.
1.89 + 0.8z + 0.4z = 5.5 + -0.4z + 0.4z

Combine like terms: 0.8z + 0.4z = 1.2z
1.89 + 1.2z = 5.5 + -0.4z + 0.4z

Combine like terms: -0.4z + 0.4z = 0.0
1.89 + 1.2z = 5.5 + 0.0
1.89 + 1.2z = 5.5

Add '-1.89' to each side of the equation.
1.89 + -1.89 + 1.2z = 5.5 + -1.89

Combine like terms: 1.89 + -1.89 = 0.00
0.00 + 1.2z = 5.5 + -1.89
1.2z = 5.5 + -1.89

Combine like terms: 5.5 + -1.89 = 3.61
1.2z = 3.61

Divide each side by '1.2'.
z = 3.008333333

Simplifying
z = 3.008333333