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Simplifying (-7 + 2i) + -1(-5i) = 0 Remove parenthesis around (-7 + 2i) -7 + 2i + -1(-5i) = 0 Remove parenthesis around (-5i) -7 + 2i + -1 * -5i = 0 Multiply -1 * -5 -7 + 2i + 5i = 0 Combine like terms: 2i + 5i = 7i -7 + 7i = 0 Solving -7 + 7i = 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 + 7i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7i = 0 + 7 7i = 0 + 7 Combine like terms: 0 + 7 = 7 7i = 7 Divide each side by '7'. i = 1 Simplifying i = 1
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