4z-3=z+6

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Solution for 4z-3=z+6 equation:


Simplifying
4z + -3 = z + 6

Reorder the terms:
-3 + 4z = z + 6

Reorder the terms:
-3 + 4z = 6 + z

Solving
-3 + 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.
-3 + 4z + -1z = 6 + z + -1z

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

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

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

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

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

Divide each side by '3'.
z = 3

Simplifying
z = 3

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