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Simplifying -3i + -9 + 9j = -15 Reorder the terms: -9 + -3i + 9j = -15 Solving -9 + -3i + 9j = -15 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -3i + 9 + 9j = -15 + 9 Reorder the terms: -9 + 9 + -3i + 9j = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -3i + 9j = -15 + 9 -3i + 9j = -15 + 9 Combine like terms: -15 + 9 = -6 -3i + 9j = -6 Add '-9j' to each side of the equation. -3i + 9j + -9j = -6 + -9j Combine like terms: 9j + -9j = 0 -3i + 0 = -6 + -9j -3i = -6 + -9j Divide each side by '-3'. i = 2 + 3j Simplifying i = 2 + 3j
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