8z+1=9z-2z

Solution for 8z+1=9z-2z equation:

Simplifying
8z + 1 = 9z + -2z

Reorder the terms:
1 + 8z = 9z + -2z

Combine like terms: 9z + -2z = 7z
1 + 8z = 7z

Solving
1 + 8z = 7z

Solving for variable 'z'.

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

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

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

Combine like terms: 7z + -7z = 0
1 + 1z = 0

Add '-1' to each side of the equation.
1 + -1 + 1z = 0 + -1

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

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

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

Simplifying
z = -1