3z-10=z+4

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Solution for 3z-10=z+4 equation:


Simplifying
3z + -10 = z + 4

Reorder the terms:
-10 + 3z = z + 4

Reorder the terms:
-10 + 3z = 4 + z

Solving
-10 + 3z = 4 + 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.
-10 + 3z + -1z = 4 + z + -1z

Combine like terms: 3z + -1z = 2z
-10 + 2z = 4 + z + -1z

Combine like terms: z + -1z = 0
-10 + 2z = 4 + 0
-10 + 2z = 4

Add '10' to each side of the equation.
-10 + 10 + 2z = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 2z = 4 + 10
2z = 4 + 10

Combine like terms: 4 + 10 = 14
2z = 14

Divide each side by '2'.
z = 7

Simplifying
z = 7

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