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Simplifying 20 = 4(2j + 3) Reorder the terms: 20 = 4(3 + 2j) 20 = (3 * 4 + 2j * 4) 20 = (12 + 8j) Solving 20 = 12 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 20 + -8j = 12 + 8j + -8j Combine like terms: 8j + -8j = 0 20 + -8j = 12 + 0 20 + -8j = 12 Add '-20' to each side of the equation. 20 + -20 + -8j = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -8j = 12 + -20 -8j = 12 + -20 Combine like terms: 12 + -20 = -8 -8j = -8 Divide each side by '-8'. j = 1 Simplifying j = 1
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