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Simplifying 2j + -3(i + 5) = 5 Reorder the terms: 2j + -3(5 + i) = 5 2j + (5 * -3 + i * -3) = 5 2j + (-15 + -3i) = 5 Reorder the terms: -15 + -3i + 2j = 5 Solving -15 + -3i + 2j = 5 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -3i + 15 + 2j = 5 + 15 Reorder the terms: -15 + 15 + -3i + 2j = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -3i + 2j = 5 + 15 -3i + 2j = 5 + 15 Combine like terms: 5 + 15 = 20 -3i + 2j = 20 Add '-2j' to each side of the equation. -3i + 2j + -2j = 20 + -2j Combine like terms: 2j + -2j = 0 -3i + 0 = 20 + -2j -3i = 20 + -2j Divide each side by '-3'. i = -6.666666667 + 0.6666666667j Simplifying i = -6.666666667 + 0.6666666667j
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