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Simplifying -5(-7 + 6i) + -5(-5 + 4i) = 0 (-7 * -5 + 6i * -5) + -5(-5 + 4i) = 0 (35 + -30i) + -5(-5 + 4i) = 0 35 + -30i + (-5 * -5 + 4i * -5) = 0 35 + -30i + (25 + -20i) = 0 Reorder the terms: 35 + 25 + -30i + -20i = 0 Combine like terms: 35 + 25 = 60 60 + -30i + -20i = 0 Combine like terms: -30i + -20i = -50i 60 + -50i = 0 Solving 60 + -50i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -50i = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -50i = 0 + -60 -50i = 0 + -60 Combine like terms: 0 + -60 = -60 -50i = -60 Divide each side by '-50'. i = 1.2 Simplifying i = 1.2
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