6(z+1)=5z

Solution for 6(z+1)=5z equation:

Simplifying
6(z + 1) = 5z

Reorder the terms:
6(1 + z) = 5z
(1 * 6 + z * 6) = 5z
(6 + 6z) = 5z

Solving
6 + 6z = 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
6 + 6z + -5z = 5z + -5z

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

Combine like terms: 5z + -5z = 0
6 + 1z = 0

Add '-6' to each side of the equation.
6 + -6 + 1z = 0 + -6

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

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

Divide each side by '1'.
z = -6

Simplifying
z = -6