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Simplifying (17 + -10i) + -1(26 + -15i) = 0 Remove parenthesis around (17 + -10i) 17 + -10i + -1(26 + -15i) = 0 17 + -10i + (26 * -1 + -15i * -1) = 0 17 + -10i + (-26 + 15i) = 0 Reorder the terms: 17 + -26 + -10i + 15i = 0 Combine like terms: 17 + -26 = -9 -9 + -10i + 15i = 0 Combine like terms: -10i + 15i = 5i -9 + 5i = 0 Solving -9 + 5i = 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 + 5i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5i = 0 + 9 5i = 0 + 9 Combine like terms: 0 + 9 = 9 5i = 9 Divide each side by '5'. i = 1.8 Simplifying i = 1.8
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