5z-9=6z-6

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Solution for 5z-9=6z-6 equation:


Simplifying
5z + -9 = 6z + -6

Reorder the terms:
-9 + 5z = 6z + -6

Reorder the terms:
-9 + 5z = -6 + 6z

Solving
-9 + 5z = -6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-9 + 5z + -6z = -6 + 6z + -6z

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

Combine like terms: 6z + -6z = 0
-9 + -1z = -6 + 0
-9 + -1z = -6

Add '9' to each side of the equation.
-9 + 9 + -1z = -6 + 9

Combine like terms: -9 + 9 = 0
0 + -1z = -6 + 9
-1z = -6 + 9

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

Divide each side by '-1'.
z = -3

Simplifying
z = -3

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