6z-9-z=7-3z+4

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Solution for 6z-9-z=7-3z+4 equation:


Simplifying
6z + -9 + -1z = 7 + -3z + 4

Reorder the terms:
-9 + 6z + -1z = 7 + -3z + 4

Combine like terms: 6z + -1z = 5z
-9 + 5z = 7 + -3z + 4

Reorder the terms:
-9 + 5z = 7 + 4 + -3z

Combine like terms: 7 + 4 = 11
-9 + 5z = 11 + -3z

Solving
-9 + 5z = 11 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
-9 + 5z + 3z = 11 + -3z + 3z

Combine like terms: 5z + 3z = 8z
-9 + 8z = 11 + -3z + 3z

Combine like terms: -3z + 3z = 0
-9 + 8z = 11 + 0
-9 + 8z = 11

Add '9' to each side of the equation.
-9 + 9 + 8z = 11 + 9

Combine like terms: -9 + 9 = 0
0 + 8z = 11 + 9
8z = 11 + 9

Combine like terms: 11 + 9 = 20
8z = 20

Divide each side by '8'.
z = 2.5

Simplifying
z = 2.5

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