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Simplifying 12j + 3 = 10j + -3 Reorder the terms: 3 + 12j = 10j + -3 Reorder the terms: 3 + 12j = -3 + 10j Solving 3 + 12j = -3 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. 3 + 12j + -10j = -3 + 10j + -10j Combine like terms: 12j + -10j = 2j 3 + 2j = -3 + 10j + -10j Combine like terms: 10j + -10j = 0 3 + 2j = -3 + 0 3 + 2j = -3 Add '-3' to each side of the equation. 3 + -3 + 2j = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 2j = -3 + -3 2j = -3 + -3 Combine like terms: -3 + -3 = -6 2j = -6 Divide each side by '2'. j = -3 Simplifying j = -3
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