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Simplifying 15j + -13 = 12j + 5 Reorder the terms: -13 + 15j = 12j + 5 Reorder the terms: -13 + 15j = 5 + 12j Solving -13 + 15j = 5 + 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. -13 + 15j + -12j = 5 + 12j + -12j Combine like terms: 15j + -12j = 3j -13 + 3j = 5 + 12j + -12j Combine like terms: 12j + -12j = 0 -13 + 3j = 5 + 0 -13 + 3j = 5 Add '13' to each side of the equation. -13 + 13 + 3j = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 3j = 5 + 13 3j = 5 + 13 Combine like terms: 5 + 13 = 18 3j = 18 Divide each side by '3'. j = 6 Simplifying j = 6
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