10z-2=9z+4

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Solution for 10z-2=9z+4 equation:


Simplifying
10z + -2 = 9z + 4

Reorder the terms:
-2 + 10z = 9z + 4

Reorder the terms:
-2 + 10z = 4 + 9z

Solving
-2 + 10z = 4 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-2 + 10z + -9z = 4 + 9z + -9z

Combine like terms: 10z + -9z = 1z
-2 + 1z = 4 + 9z + -9z

Combine like terms: 9z + -9z = 0
-2 + 1z = 4 + 0
-2 + 1z = 4

Add '2' to each side of the equation.
-2 + 2 + 1z = 4 + 2

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

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

Divide each side by '1'.
z = 6

Simplifying
z = 6

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