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Simplifying 20 + 3(-5j + 6) + -8 = 0 Reorder the terms: 20 + 3(6 + -5j) + -8 = 0 20 + (6 * 3 + -5j * 3) + -8 = 0 20 + (18 + -15j) + -8 = 0 Reorder the terms: 20 + 18 + -8 + -15j = 0 Combine like terms: 20 + 18 = 38 38 + -8 + -15j = 0 Combine like terms: 38 + -8 = 30 30 + -15j = 0 Solving 30 + -15j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -15j = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -15j = 0 + -30 -15j = 0 + -30 Combine like terms: 0 + -30 = -30 -15j = -30 Divide each side by '-15'. j = 2 Simplifying j = 2
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