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Simplifying 3(5i + -2) + 2 = 36 Reorder the terms: 3(-2 + 5i) + 2 = 36 (-2 * 3 + 5i * 3) + 2 = 36 (-6 + 15i) + 2 = 36 Reorder the terms: -6 + 2 + 15i = 36 Combine like terms: -6 + 2 = -4 -4 + 15i = 36 Solving -4 + 15i = 36 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 15i = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 15i = 36 + 4 15i = 36 + 4 Combine like terms: 36 + 4 = 40 15i = 40 Divide each side by '15'. i = 2.666666667 Simplifying i = 2.666666667
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