6i+(-2-7i)=b

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Solution for 6i+(-2-7i)=b equation:


Simplifying
6i + (-2 + -7i) = b

Remove parenthesis around (-2 + -7i)
6i + -2 + -7i = b

Reorder the terms:
-2 + 6i + -7i = b

Combine like terms: 6i + -7i = -1i
-2 + -1i = b

Solving
-2 + -1i = b

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 2 + -1i = 2 + b

Combine like terms: -2 + 2 = 0
0 + -1i = 2 + b
-1i = 2 + b

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

Simplifying
i = -2 + -1b

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