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Simplifying -14 + 6i + 7 + -2i = 1 + 5i Reorder the terms: -14 + 7 + 6i + -2i = 1 + 5i Combine like terms: -14 + 7 = -7 -7 + 6i + -2i = 1 + 5i Combine like terms: 6i + -2i = 4i -7 + 4i = 1 + 5i Solving -7 + 4i = 1 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. -7 + 4i + -5i = 1 + 5i + -5i Combine like terms: 4i + -5i = -1i -7 + -1i = 1 + 5i + -5i Combine like terms: 5i + -5i = 0 -7 + -1i = 1 + 0 -7 + -1i = 1 Add '7' to each side of the equation. -7 + 7 + -1i = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -1i = 1 + 7 -1i = 1 + 7 Combine like terms: 1 + 7 = 8 -1i = 8 Divide each side by '-1'. i = -8 Simplifying i = -8
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