z+1.4z-1.6=1.5(z+1.4)

Solution for z+1.4z-1.6=1.5(z+1.4) equation:

Simplifying
z + 1.4z + -1.6 = 1.5(z + 1.4)

Reorder the terms:
-1.6 + z + 1.4z = 1.5(z + 1.4)

Combine like terms: z + 1.4z = 2.4z
-1.6 + 2.4z = 1.5(z + 1.4)

Reorder the terms:
-1.6 + 2.4z = 1.5(1.4 + z)
-1.6 + 2.4z = (1.4 * 1.5 + z * 1.5)
-1.6 + 2.4z = (2.1 + 1.5z)

Solving
-1.6 + 2.4z = 2.1 + 1.5z

Solving for variable 'z'.

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

Add '-1.5z' to each side of the equation.
-1.6 + 2.4z + -1.5z = 2.1 + 1.5z + -1.5z

Combine like terms: 2.4z + -1.5z = 0.9z
-1.6 + 0.9z = 2.1 + 1.5z + -1.5z

Combine like terms: 1.5z + -1.5z = 0.0
-1.6 + 0.9z = 2.1 + 0.0
-1.6 + 0.9z = 2.1

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.9z = 2.1 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.9z = 2.1 + 1.6
0.9z = 2.1 + 1.6

Combine like terms: 2.1 + 1.6 = 3.7
0.9z = 3.7

Divide each side by '0.9'.
z = 4.111111111

Simplifying
z = 4.111111111