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Simplifying (7 + -10i) + -1(3 + 30i) = 0 Remove parenthesis around (7 + -10i) 7 + -10i + -1(3 + 30i) = 0 7 + -10i + (3 * -1 + 30i * -1) = 0 7 + -10i + (-3 + -30i) = 0 Reorder the terms: 7 + -3 + -10i + -30i = 0 Combine like terms: 7 + -3 = 4 4 + -10i + -30i = 0 Combine like terms: -10i + -30i = -40i 4 + -40i = 0 Solving 4 + -40i = 0 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 + -40i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -40i = 0 + -4 -40i = 0 + -4 Combine like terms: 0 + -4 = -4 -40i = -4 Divide each side by '-40'. i = 0.1 Simplifying i = 0.1
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