5(2z-1)+3z=9-z

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Solution for 5(2z-1)+3z=9-z equation:


Simplifying
5(2z + -1) + 3z = 9 + -1z

Reorder the terms:
5(-1 + 2z) + 3z = 9 + -1z
(-1 * 5 + 2z * 5) + 3z = 9 + -1z
(-5 + 10z) + 3z = 9 + -1z

Combine like terms: 10z + 3z = 13z
-5 + 13z = 9 + -1z

Solving
-5 + 13z = 9 + -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 = 9 + -1z + z

Combine like terms: 13z + z = 14z
-5 + 14z = 9 + -1z + z

Combine like terms: -1z + z = 0
-5 + 14z = 9 + 0
-5 + 14z = 9

Add '5' to each side of the equation.
-5 + 5 + 14z = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 14z = 9 + 5
14z = 9 + 5

Combine like terms: 9 + 5 = 14
14z = 14

Divide each side by '14'.
z = 1

Simplifying
z = 1

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