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Simplifying (-8 + 10i) + -1(8 + 3i) = 7 Remove parenthesis around (-8 + 10i) -8 + 10i + -1(8 + 3i) = 7 -8 + 10i + (8 * -1 + 3i * -1) = 7 -8 + 10i + (-8 + -3i) = 7 Reorder the terms: -8 + -8 + 10i + -3i = 7 Combine like terms: -8 + -8 = -16 -16 + 10i + -3i = 7 Combine like terms: 10i + -3i = 7i -16 + 7i = 7 Solving -16 + 7i = 7 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 + 7i = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 7i = 7 + 16 7i = 7 + 16 Combine like terms: 7 + 16 = 23 7i = 23 Divide each side by '7'. i = 3.285714286 Simplifying i = 3.285714286
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