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Simplifying 15j + 1 = -8j + 13 + 20j Reorder the terms: 1 + 15j = -8j + 13 + 20j Reorder the terms: 1 + 15j = 13 + -8j + 20j Combine like terms: -8j + 20j = 12j 1 + 15j = 13 + 12j Solving 1 + 15j = 13 + 12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12j' to each side of the equation. 1 + 15j + -12j = 13 + 12j + -12j Combine like terms: 15j + -12j = 3j 1 + 3j = 13 + 12j + -12j Combine like terms: 12j + -12j = 0 1 + 3j = 13 + 0 1 + 3j = 13 Add '-1' to each side of the equation. 1 + -1 + 3j = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 3j = 13 + -1 3j = 13 + -1 Combine like terms: 13 + -1 = 12 3j = 12 Divide each side by '3'. j = 4 Simplifying j = 4
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