14z+6=13z+1

Solution for 14z+6=13z+1 equation:

Simplifying
14z + 6 = 13z + 1

Reorder the terms:
6 + 14z = 13z + 1

Reorder the terms:
6 + 14z = 1 + 13z

Solving
6 + 14z = 1 + 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
6 + 14z + -13z = 1 + 13z + -13z

Combine like terms: 14z + -13z = 1z
6 + 1z = 1 + 13z + -13z

Combine like terms: 13z + -13z = 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