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Simplifying (12 + -18i) + -1(7 + 10i) = 0 Remove parenthesis around (12 + -18i) 12 + -18i + -1(7 + 10i) = 0 12 + -18i + (7 * -1 + 10i * -1) = 0 12 + -18i + (-7 + -10i) = 0 Reorder the terms: 12 + -7 + -18i + -10i = 0 Combine like terms: 12 + -7 = 5 5 + -18i + -10i = 0 Combine like terms: -18i + -10i = -28i 5 + -28i = 0 Solving 5 + -28i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -28i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -28i = 0 + -5 -28i = 0 + -5 Combine like terms: 0 + -5 = -5 -28i = -5 Divide each side by '-28'. i = 0.1785714286 Simplifying i = 0.1785714286
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