4z+2i=6-7i+z

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Solution for 4z+2i=6-7i+z equation:


Simplifying
4z + 2i = 6 + -7i + z

Reorder the terms:
2i + 4z = 6 + -7i + z

Solving
2i + 4z = 6 + -7i + z

Solving for variable 'i'.

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

Add '7i' to each side of the equation.
2i + 7i + 4z = 6 + -7i + 7i + z

Combine like terms: 2i + 7i = 9i
9i + 4z = 6 + -7i + 7i + z

Combine like terms: -7i + 7i = 0
9i + 4z = 6 + 0 + z
9i + 4z = 6 + z

Add '-4z' to each side of the equation.
9i + 4z + -4z = 6 + z + -4z

Combine like terms: 4z + -4z = 0
9i + 0 = 6 + z + -4z
9i = 6 + z + -4z

Combine like terms: z + -4z = -3z
9i = 6 + -3z

Divide each side by '9'.
i = 0.6666666667 + -0.3333333333z

Simplifying
i = 0.6666666667 + -0.3333333333z

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