5n+34=-2(I-7n)

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Solution for 5n+34=-2(I-7n) equation: 


Simplifying
5n + 34 = -2(I + -7n)

Reorder the terms:
34 + 5n = -2(I + -7n)
34 + 5n = (I * -2 + -7n * -2)
34 + 5n = (-2I + 14n)

Solving
34 + 5n = -2I + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
34 + 5n + -14n = -2I + 14n + -14n

Combine like terms: 5n + -14n = -9n
34 + -9n = -2I + 14n + -14n

Combine like terms: 14n + -14n = 0
34 + -9n = -2I + 0
34 + -9n = -2I

Add '-34' to each side of the equation.
34 + -34 + -9n = -34 + -2I

Combine like terms: 34 + -34 = 0
0 + -9n = -34 + -2I
-9n = -34 + -2I

Divide each side by '-9'.
n = 3.777777778 + 0.2222222222I

Simplifying
n = 3.777777778 + 0.2222222222I

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