2z+6=z+16

Solution for 2z+6=z+16 equation:

Simplifying
2z + 6 = z + 16

Reorder the terms:
6 + 2z = z + 16

Reorder the terms:
6 + 2z = 16 + z

Solving
6 + 2z = 16 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
6 + 2z + -1z = 16 + z + -1z

Combine like terms: 2z + -1z = 1z
6 + 1z = 16 + z + -1z

Combine like terms: z + -1z = 0
6 + 1z = 16 + 0
6 + 1z = 16

Add '-6' to each side of the equation.
6 + -6 + 1z = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 16 + -6
1z = 16 + -6

Combine like terms: 16 + -6 = 10
1z = 10

Divide each side by '1'.
z = 10

Simplifying
z = 10