4z-9=z+6

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Solution for 4z-9=z+6 equation:


Simplifying
4z + -9 = z + 6

Reorder the terms:
-9 + 4z = z + 6

Reorder the terms:
-9 + 4z = 6 + z

Solving
-9 + 4z = 6 + 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 + 4z + -1z = 6 + z + -1z

Combine like terms: 4z + -1z = 3z
-9 + 3z = 6 + z + -1z

Combine like terms: z + -1z = 0
-9 + 3z = 6 + 0
-9 + 3z = 6

Add '9' to each side of the equation.
-9 + 9 + 3z = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 3z = 6 + 9
3z = 6 + 9

Combine like terms: 6 + 9 = 15
3z = 15

Divide each side by '3'.
z = 5

Simplifying
z = 5

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