10z-5+3z=8-z

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Solution for 10z-5+3z=8-z equation:


Simplifying
10z + -5 + 3z = 8 + -1z

Reorder the terms:
-5 + 10z + 3z = 8 + -1z

Combine like terms: 10z + 3z = 13z
-5 + 13z = 8 + -1z

Solving
-5 + 13z = 8 + -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.
-5 + 13z + z = 8 + -1z + z

Combine like terms: 13z + z = 14z
-5 + 14z = 8 + -1z + z

Combine like terms: -1z + z = 0
-5 + 14z = 8 + 0
-5 + 14z = 8

Add '5' to each side of the equation.
-5 + 5 + 14z = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 14z = 8 + 5
14z = 8 + 5

Combine like terms: 8 + 5 = 13
14z = 13

Divide each side by '14'.
z = 0.9285714286

Simplifying
z = 0.9285714286

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