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Simplifying (1 + -4i) + -1(1 + 3i) = b Remove parenthesis around (1 + -4i) 1 + -4i + -1(1 + 3i) = b 1 + -4i + (1 * -1 + 3i * -1) = b 1 + -4i + (-1 + -3i) = b Reorder the terms: 1 + -1 + -4i + -3i = b Combine like terms: 1 + -1 = 0 0 + -4i + -3i = b -4i + -3i = b Combine like terms: -4i + -3i = -7i -7i = b Solving -7i = b Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '-7'. i = -0.1428571429b Simplifying i = -0.1428571429b
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