2z-8=7z+9

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Solution for 2z-8=7z+9 equation:


Simplifying
2z + -8 = 7z + 9

Reorder the terms:
-8 + 2z = 7z + 9

Reorder the terms:
-8 + 2z = 9 + 7z

Solving
-8 + 2z = 9 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-8 + 2z + -7z = 9 + 7z + -7z

Combine like terms: 2z + -7z = -5z
-8 + -5z = 9 + 7z + -7z

Combine like terms: 7z + -7z = 0
-8 + -5z = 9 + 0
-8 + -5z = 9

Add '8' to each side of the equation.
-8 + 8 + -5z = 9 + 8

Combine like terms: -8 + 8 = 0
0 + -5z = 9 + 8
-5z = 9 + 8

Combine like terms: 9 + 8 = 17
-5z = 17

Divide each side by '-5'.
z = -3.4

Simplifying
z = -3.4

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