5z-10=4-z-2

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Solution for 5z-10=4-z-2 equation:


Simplifying
5z + -10 = 4 + -1z + -2

Reorder the terms:
-10 + 5z = 4 + -1z + -2

Reorder the terms:
-10 + 5z = 4 + -2 + -1z

Combine like terms: 4 + -2 = 2
-10 + 5z = 2 + -1z

Solving
-10 + 5z = 2 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-10 + 5z + z = 2 + -1z + z

Combine like terms: 5z + z = 6z
-10 + 6z = 2 + -1z + z

Combine like terms: -1z + z = 0
-10 + 6z = 2 + 0
-10 + 6z = 2

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

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

Combine like terms: 2 + 10 = 12
6z = 12

Divide each side by '6'.
z = 2

Simplifying
z = 2

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