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Simplifying 33 = 5i + -12 Reorder the terms: 33 = -12 + 5i Solving 33 = -12 + 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. 33 + -5i = -12 + 5i + -5i Combine like terms: 5i + -5i = 0 33 + -5i = -12 + 0 33 + -5i = -12 Add '-33' to each side of the equation. 33 + -33 + -5i = -12 + -33 Combine like terms: 33 + -33 = 0 0 + -5i = -12 + -33 -5i = -12 + -33 Combine like terms: -12 + -33 = -45 -5i = -45 Divide each side by '-5'. i = 9 Simplifying i = 9
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