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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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