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Simplifying (3 + 8i) + -1(-13 + 12i) = 0 Remove parenthesis around (3 + 8i) 3 + 8i + -1(-13 + 12i) = 0 3 + 8i + (-13 * -1 + 12i * -1) = 0 3 + 8i + (13 + -12i) = 0 Reorder the terms: 3 + 13 + 8i + -12i = 0 Combine like terms: 3 + 13 = 16 16 + 8i + -12i = 0 Combine like terms: 8i + -12i = -4i 16 + -4i = 0 Solving 16 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4i = 0 + -16 -4i = 0 + -16 Combine like terms: 0 + -16 = -16 -4i = -16 Divide each side by '-4'. i = 4 Simplifying i = 4
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