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Simplifying (-2 + 15i) + -1(7 + -2i) = 0 Remove parenthesis around (-2 + 15i) -2 + 15i + -1(7 + -2i) = 0 -2 + 15i + (7 * -1 + -2i * -1) = 0 -2 + 15i + (-7 + 2i) = 0 Reorder the terms: -2 + -7 + 15i + 2i = 0 Combine like terms: -2 + -7 = -9 -9 + 15i + 2i = 0 Combine like terms: 15i + 2i = 17i -9 + 17i = 0 Solving -9 + 17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 17i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 17i = 0 + 9 17i = 0 + 9 Combine like terms: 0 + 9 = 9 17i = 9 Divide each side by '17'. i = 0.5294117647 Simplifying i = 0.5294117647
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