z+1.4z-6=1.5(z+1.4)

Solution for z+1.4z-6=1.5(z+1.4) equation:

Simplifying
z + 1.4z + -6 = 1.5(z + 1.4)

Reorder the terms:
-6 + z + 1.4z = 1.5(z + 1.4)

Combine like terms: z + 1.4z = 2.4z
-6 + 2.4z = 1.5(z + 1.4)

Reorder the terms:
-6 + 2.4z = 1.5(1.4 + z)
-6 + 2.4z = (1.4 * 1.5 + z * 1.5)
-6 + 2.4z = (2.1 + 1.5z)

Solving
-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.
-6 + 2.4z + -1.5z = 2.1 + 1.5z + -1.5z

Combine like terms: 2.4z + -1.5z = 0.9z
-6 + 0.9z = 2.1 + 1.5z + -1.5z

Combine like terms: 1.5z + -1.5z = 0.0
-6 + 0.9z = 2.1 + 0.0
-6 + 0.9z = 2.1

Add '6' to each side of the equation.
-6 + 6 + 0.9z = 2.1 + 6

Combine like terms: -6 + 6 = 0
0 + 0.9z = 2.1 + 6
0.9z = 2.1 + 6

Combine like terms: 2.1 + 6 = 8.1
0.9z = 8.1

Divide each side by '0.9'.
z = 9

Simplifying
z = 9