3z+5i=2z-2+3i

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Solution for 3z+5i=2z-2+3i equation:


Simplifying
3z + 5i = 2z + -2 + 3i

Reorder the terms:
5i + 3z = 2z + -2 + 3i

Reorder the terms:
5i + 3z = -2 + 3i + 2z

Solving
5i + 3z = -2 + 3i + 2z

Solving for variable 'i'.

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

Add '-3i' to each side of the equation.
5i + -3i + 3z = -2 + 3i + -3i + 2z

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

Combine like terms: 3i + -3i = 0
2i + 3z = -2 + 0 + 2z
2i + 3z = -2 + 2z

Add '-3z' to each side of the equation.
2i + 3z + -3z = -2 + 2z + -3z

Combine like terms: 3z + -3z = 0
2i + 0 = -2 + 2z + -3z
2i = -2 + 2z + -3z

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

Divide each side by '2'.
i = -1 + -0.5z

Simplifying
i = -1 + -0.5z

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