3Z-9=4Z-6

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Solution for 3Z-9=4Z-6 equation:


Simplifying
3Z + -9 = 4Z + -6

Reorder the terms:
-9 + 3Z = 4Z + -6

Reorder the terms:
-9 + 3Z = -6 + 4Z

Solving
-9 + 3Z = -6 + 4Z

Solving for variable 'Z'.

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

Add '-4Z' to each side of the equation.
-9 + 3Z + -4Z = -6 + 4Z + -4Z

Combine like terms: 3Z + -4Z = -1Z
-9 + -1Z = -6 + 4Z + -4Z

Combine like terms: 4Z + -4Z = 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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