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Simplifying 6 + -1(-5 + 4i) = (-13 + -1i) 6 + (-5 * -1 + 4i * -1) = (-13 + -1i) 6 + (5 + -4i) = (-13 + -1i) Combine like terms: 6 + 5 = 11 11 + -4i = (-13 + -1i) Remove parenthesis around (-13 + -1i) 11 + -4i = -13 + -1i Solving 11 + -4i = -13 + -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 11 + -4i + i = -13 + -1i + i Combine like terms: -4i + i = -3i 11 + -3i = -13 + -1i + i Combine like terms: -1i + i = 0 11 + -3i = -13 + 0 11 + -3i = -13 Add '-11' to each side of the equation. 11 + -11 + -3i = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -3i = -13 + -11 -3i = -13 + -11 Combine like terms: -13 + -11 = -24 -3i = -24 Divide each side by '-3'. i = 8 Simplifying i = 8
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