lz-3il=1

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Solution for lz-3il=1 equation: 


Simplifying
lz + -3il = 1

Reorder the terms:
-3il + lz = 1

Solving
-3il + lz = 1

Solving for variable 'i'.

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

Add '-1lz' to each side of the equation.
-3il + lz + -1lz = 1 + -1lz

Combine like terms: lz + -1lz = 0
-3il + 0 = 1 + -1lz
-3il = 1 + -1lz

Divide each side by '-3l'.
i = -0.3333333333l-1 + 0.3333333333z

Simplifying
i = -0.3333333333l-1 + 0.3333333333z

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