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Simplifying (-2 + -6i) = -1(8 + 3i) Remove parenthesis around (-2 + -6i) -2 + -6i = -1(8 + 3i) -2 + -6i = (8 * -1 + 3i * -1) -2 + -6i = (-8 + -3i) Solving -2 + -6i = -8 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. -2 + -6i + 3i = -8 + -3i + 3i Combine like terms: -6i + 3i = -3i -2 + -3i = -8 + -3i + 3i Combine like terms: -3i + 3i = 0 -2 + -3i = -8 + 0 -2 + -3i = -8 Add '2' to each side of the equation. -2 + 2 + -3i = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -3i = -8 + 2 -3i = -8 + 2 Combine like terms: -8 + 2 = -6 -3i = -6 Divide each side by '-3'. i = 2 Simplifying i = 2
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