4-2b=-8(4b+7I)

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Solution for 4-2b=-8(4b+7I) equation:


Simplifying
4 + -2b = -8(4b + 7I)

Reorder the terms:
4 + -2b = -8(7I + 4b)
4 + -2b = (7I * -8 + 4b * -8)
4 + -2b = (-56I + -32b)

Solving
4 + -2b = -56I + -32b

Solving for variable 'b'.

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

Add '32b' to each side of the equation.
4 + -2b + 32b = -56I + -32b + 32b

Combine like terms: -2b + 32b = 30b
4 + 30b = -56I + -32b + 32b

Combine like terms: -32b + 32b = 0
4 + 30b = -56I + 0
4 + 30b = -56I

Add '-4' to each side of the equation.
4 + -4 + 30b = -4 + -56I

Combine like terms: 4 + -4 = 0
0 + 30b = -4 + -56I
30b = -4 + -56I

Divide each side by '30'.
b = -0.1333333333 + -1.866666667I

Simplifying
b = -0.1333333333 + -1.866666667I

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