10z-2=6z+10

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Solution for 10z-2=6z+10 equation:


Simplifying
10z + -2 = 6z + 10

Reorder the terms:
-2 + 10z = 6z + 10

Reorder the terms:
-2 + 10z = 10 + 6z

Solving
-2 + 10z = 10 + 6z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-6z' to each side of the equation.
-2 + 10z + -6z = 10 + 6z + -6z

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

Combine like terms: 6z + -6z = 0
-2 + 4z = 10 + 0
-2 + 4z = 10

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

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

Combine like terms: 10 + 2 = 12
4z = 12

Divide each side by '4'.
z = 3

Simplifying
z = 3

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