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Simplifying 8i + 12 + 4j = 0 Reorder the terms: 12 + 8i + 4j = 0 Solving 12 + 8i + 4j = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8i + -12 + 4j = 0 + -12 Reorder the terms: 12 + -12 + 8i + 4j = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8i + 4j = 0 + -12 8i + 4j = 0 + -12 Combine like terms: 0 + -12 = -12 8i + 4j = -12 Add '-4j' to each side of the equation. 8i + 4j + -4j = -12 + -4j Combine like terms: 4j + -4j = 0 8i + 0 = -12 + -4j 8i = -12 + -4j Divide each side by '8'. i = -1.5 + -0.5j Simplifying i = -1.5 + -0.5j
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