7z-9=8z-6

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Solution for 7z-9=8z-6 equation:


Simplifying
7z + -9 = 8z + -6

Reorder the terms:
-9 + 7z = 8z + -6

Reorder the terms:
-9 + 7z = -6 + 8z

Solving
-9 + 7z = -6 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
-9 + 7z + -8z = -6 + 8z + -8z

Combine like terms: 7z + -8z = -1z
-9 + -1z = -6 + 8z + -8z

Combine like terms: 8z + -8z = 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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