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Simplifying 3[2 + -1(3j + -6)] + 4[6j + -1(1 + -2)] = 4 + -5 Reorder the terms: 3[2 + -1(-6 + 3j)] + 4[6j + -1(1 + -2)] = 4 + -5 3[2 + (-6 * -1 + 3j * -1)] + 4[6j + -1(1 + -2)] = 4 + -5 3[2 + (6 + -3j)] + 4[6j + -1(1 + -2)] = 4 + -5 Combine like terms: 2 + 6 = 8 3[8 + -3j] + 4[6j + -1(1 + -2)] = 4 + -5 [8 * 3 + -3j * 3] + 4[6j + -1(1 + -2)] = 4 + -5 [24 + -9j] + 4[6j + -1(1 + -2)] = 4 + -5 Combine like terms: 1 + -2 = -1 24 + -9j + 4[6j + -1(-1)] = 4 + -5 Multiply -1 * -1 24 + -9j + 4[6j + 1] = 4 + -5 Reorder the terms: 24 + -9j + 4[1 + 6j] = 4 + -5 24 + -9j + [1 * 4 + 6j * 4] = 4 + -5 24 + -9j + [4 + 24j] = 4 + -5 Reorder the terms: 24 + 4 + -9j + 24j = 4 + -5 Combine like terms: 24 + 4 = 28 28 + -9j + 24j = 4 + -5 Combine like terms: -9j + 24j = 15j 28 + 15j = 4 + -5 Combine like terms: 4 + -5 = -1 28 + 15j = -1 Solving 28 + 15j = -1 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 15j = -1 + -28 Combine like terms: 28 + -28 = 0 0 + 15j = -1 + -28 15j = -1 + -28 Combine like terms: -1 + -28 = -29 15j = -29 Divide each side by '15'. j = -1.933333333 Simplifying j = -1.933333333
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