6z-5=7z-2

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Solution for 6z-5=7z-2 equation:


Simplifying
6z + -5 = 7z + -2

Reorder the terms:
-5 + 6z = 7z + -2

Reorder the terms:
-5 + 6z = -2 + 7z

Solving
-5 + 6z = -2 + 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.
-5 + 6z + -7z = -2 + 7z + -7z

Combine like terms: 6z + -7z = -1z
-5 + -1z = -2 + 7z + -7z

Combine like terms: 7z + -7z = 0
-5 + -1z = -2 + 0
-5 + -1z = -2

Add '5' to each side of the equation.
-5 + 5 + -1z = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -1z = -2 + 5
-1z = -2 + 5

Combine like terms: -2 + 5 = 3
-1z = 3

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

Simplifying
z = -3

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