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Simplifying (5 + -4i) + -1(12 + 9i) = 0 Remove parenthesis around (5 + -4i) 5 + -4i + -1(12 + 9i) = 0 5 + -4i + (12 * -1 + 9i * -1) = 0 5 + -4i + (-12 + -9i) = 0 Reorder the terms: 5 + -12 + -4i + -9i = 0 Combine like terms: 5 + -12 = -7 -7 + -4i + -9i = 0 Combine like terms: -4i + -9i = -13i -7 + -13i = 0 Solving -7 + -13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -13i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -13i = 0 + 7 -13i = 0 + 7 Combine like terms: 0 + 7 = 7 -13i = 7 Divide each side by '-13'. i = -0.5384615385 Simplifying i = -0.5384615385
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