3z-4=z+6

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


Simplifying
3z + -4 = z + 6

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

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

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

Combine like terms: 3z + -1z = 2z
-4 + 2z = 6 + z + -1z

Combine like terms: z + -1z = 0
-4 + 2z = 6 + 0
-4 + 2z = 6

Add '4' to each side of the equation.
-4 + 4 + 2z = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 2z = 6 + 4
2z = 6 + 4

Combine like terms: 6 + 4 = 10
2z = 10

Divide each side by '2'.
z = 5

Simplifying
z = 5

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