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Simplifying 7 + -5i = 10 + -1(6i + 7) Reorder the terms: 7 + -5i = 10 + -1(7 + 6i) 7 + -5i = 10 + (7 * -1 + 6i * -1) 7 + -5i = 10 + (-7 + -6i) Combine like terms: 10 + -7 = 3 7 + -5i = 3 + -6i Solving 7 + -5i = 3 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. 7 + -5i + 6i = 3 + -6i + 6i Combine like terms: -5i + 6i = 1i 7 + 1i = 3 + -6i + 6i Combine like terms: -6i + 6i = 0 7 + 1i = 3 + 0 7 + 1i = 3 Add '-7' to each side of the equation. 7 + -7 + 1i = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 1i = 3 + -7 1i = 3 + -7 Combine like terms: 3 + -7 = -4 1i = -4 Divide each side by '1'. i = -4 Simplifying i = -4
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