6z-9=z+11

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Solution for 6z-9=z+11 equation:


Simplifying
6z + -9 = z + 11

Reorder the terms:
-9 + 6z = z + 11

Reorder the terms:
-9 + 6z = 11 + z

Solving
-9 + 6z = 11 + 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.
-9 + 6z + -1z = 11 + z + -1z

Combine like terms: 6z + -1z = 5z
-9 + 5z = 11 + z + -1z

Combine like terms: z + -1z = 0
-9 + 5z = 11 + 0
-9 + 5z = 11

Add '9' to each side of the equation.
-9 + 9 + 5z = 11 + 9

Combine like terms: -9 + 9 = 0
0 + 5z = 11 + 9
5z = 11 + 9

Combine like terms: 11 + 9 = 20
5z = 20

Divide each side by '5'.
z = 4

Simplifying
z = 4

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