7z-6=9z-37

Solution for 7z-6=9z-37 equation:

Simplifying
7z + -6 = 9z + -37

Reorder the terms:
-6 + 7z = 9z + -37

Reorder the terms:
-6 + 7z = -37 + 9z

Solving
-6 + 7z = -37 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-6 + 7z + -9z = -37 + 9z + -9z

Combine like terms: 7z + -9z = -2z
-6 + -2z = -37 + 9z + -9z

Combine like terms: 9z + -9z = 0
-6 + -2z = -37 + 0
-6 + -2z = -37

Add '6' to each side of the equation.
-6 + 6 + -2z = -37 + 6

Combine like terms: -6 + 6 = 0
0 + -2z = -37 + 6
-2z = -37 + 6

Combine like terms: -37 + 6 = -31
-2z = -31

Divide each side by '-2'.
z = 15.5

Simplifying
z = 15.5