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Simplifying (6 + 8i) + (-18 + -12i) = 0 Remove parenthesis around (6 + 8i) 6 + 8i + (-18 + -12i) = 0 Remove parenthesis around (-18 + -12i) 6 + 8i + -18 + -12i = 0 Reorder the terms: 6 + -18 + 8i + -12i = 0 Combine like terms: 6 + -18 = -12 -12 + 8i + -12i = 0 Combine like terms: 8i + -12i = -4i -12 + -4i = 0 Solving -12 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -4i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4i = 0 + 12 -4i = 0 + 12 Combine like terms: 0 + 12 = 12 -4i = 12 Divide each side by '-4'. i = -3 Simplifying i = -3
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