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Simplifying (10 + 15i) + -1(48 + -30i) = 0 Remove parenthesis around (10 + 15i) 10 + 15i + -1(48 + -30i) = 0 10 + 15i + (48 * -1 + -30i * -1) = 0 10 + 15i + (-48 + 30i) = 0 Reorder the terms: 10 + -48 + 15i + 30i = 0 Combine like terms: 10 + -48 = -38 -38 + 15i + 30i = 0 Combine like terms: 15i + 30i = 45i -38 + 45i = 0 Solving -38 + 45i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 45i = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 45i = 0 + 38 45i = 0 + 38 Combine like terms: 0 + 38 = 38 45i = 38 Divide each side by '45'. i = 0.8444444444 Simplifying i = 0.8444444444
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