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Simplifying 5i + 31 = -53 + -9i Reorder the terms: 31 + 5i = -53 + -9i Solving 31 + 5i = -53 + -9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9i' to each side of the equation. 31 + 5i + 9i = -53 + -9i + 9i Combine like terms: 5i + 9i = 14i 31 + 14i = -53 + -9i + 9i Combine like terms: -9i + 9i = 0 31 + 14i = -53 + 0 31 + 14i = -53 Add '-31' to each side of the equation. 31 + -31 + 14i = -53 + -31 Combine like terms: 31 + -31 = 0 0 + 14i = -53 + -31 14i = -53 + -31 Combine like terms: -53 + -31 = -84 14i = -84 Divide each side by '14'. i = -6 Simplifying i = -6
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