5z+6=6z-2

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


Simplifying
5z + 6 = 6z + -2

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

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

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

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

Combine like terms: 6z + -6z = 0
6 + -1z = -2 + 0
6 + -1z = -2

Add '-6' to each side of the equation.
6 + -6 + -1z = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = -2 + -6
-1z = -2 + -6

Combine like terms: -2 + -6 = -8
-1z = -8

Divide each side by '-1'.
z = 8

Simplifying
z = 8

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