z-3.7z+1.2=-1.5(z-2.4)

Solution for z-3.7z+1.2=-1.5(z-2.4) equation:

Simplifying
z + -3.7z + 1.2 = -1.5(z + -2.4)

Reorder the terms:
1.2 + z + -3.7z = -1.5(z + -2.4)

Combine like terms: z + -3.7z = -2.7z
1.2 + -2.7z = -1.5(z + -2.4)

Reorder the terms:
1.2 + -2.7z = -1.5(-2.4 + z)
1.2 + -2.7z = (-2.4 * -1.5 + z * -1.5)
1.2 + -2.7z = (3.6 + -1.5z)

Solving
1.2 + -2.7z = 3.6 + -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.
1.2 + -2.7z + 1.5z = 3.6 + -1.5z + 1.5z

Combine like terms: -2.7z + 1.5z = -1.2z
1.2 + -1.2z = 3.6 + -1.5z + 1.5z

Combine like terms: -1.5z + 1.5z = 0.0
1.2 + -1.2z = 3.6 + 0.0
1.2 + -1.2z = 3.6

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -1.2z = 3.6 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.2z = 3.6 + -1.2
-1.2z = 3.6 + -1.2

Combine like terms: 3.6 + -1.2 = 2.4
-1.2z = 2.4

Divide each side by '-1.2'.
z = -2

Simplifying
z = -2