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Simplifying 4 + -1i(3b + -8) = 2b + -17 Reorder the terms: 4 + -1i(-8 + 3b) = 2b + -17 4 + (-8 * -1i + 3b * -1i) = 2b + -17 Reorder the terms: 4 + (-3bi + 8i) = 2b + -17 4 + (-3bi + 8i) = 2b + -17 Reorder the terms: 4 + -3bi + 8i = -17 + 2b Solving 4 + -3bi + 8i = -17 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 4 + -3bi + -2b + 8i = -17 + 2b + -2b Reorder the terms: 4 + -2b + -3bi + 8i = -17 + 2b + -2b Combine like terms: 2b + -2b = 0 4 + -2b + -3bi + 8i = -17 + 0 4 + -2b + -3bi + 8i = -17 Add '-4' to each side of the equation. 4 + -2b + -3bi + -4 + 8i = -17 + -4 Reorder the terms: 4 + -4 + -2b + -3bi + 8i = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -2b + -3bi + 8i = -17 + -4 -2b + -3bi + 8i = -17 + -4 Combine like terms: -17 + -4 = -21 -2b + -3bi + 8i = -21 Add '-8i' to each side of the equation. -2b + -3bi + 8i + -8i = -21 + -8i Combine like terms: 8i + -8i = 0 -2b + -3bi + 0 = -21 + -8i -2b + -3bi = -21 + -8i Reorder the terms: 21 + -2b + -3bi + 8i = -21 + -8i + 21 + 8i Reorder the terms: 21 + -2b + -3bi + 8i = -21 + 21 + -8i + 8i Combine like terms: -21 + 21 = 0 21 + -2b + -3bi + 8i = 0 + -8i + 8i 21 + -2b + -3bi + 8i = -8i + 8i Combine like terms: -8i + 8i = 0 21 + -2b + -3bi + 8i = 0 The solution to this equation could not be determined.
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