7z-6=8z-1

Solution for 7z-6=8z-1 equation:

Simplifying
7z + -6 = 8z + -1

Reorder the terms:
-6 + 7z = 8z + -1

Reorder the terms:
-6 + 7z = -1 + 8z

Solving
-6 + 7z = -1 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
-6 + 7z + -8z = -1 + 8z + -8z

Combine like terms: 7z + -8z = -1z
-6 + -1z = -1 + 8z + -8z

Combine like terms: 8z + -8z = 0
-6 + -1z = -1 + 0
-6 + -1z = -1

Add '6' to each side of the equation.
-6 + 6 + -1z = -1 + 6

Combine like terms: -6 + 6 = 0
0 + -1z = -1 + 6
-1z = -1 + 6

Combine like terms: -1 + 6 = 5
-1z = 5

Divide each side by '-1'.
z = -5

Simplifying
z = -5