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Simplifying -9j + 7 = 3j + 19 Reorder the terms: 7 + -9j = 3j + 19 Reorder the terms: 7 + -9j = 19 + 3j Solving 7 + -9j = 19 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 7 + -9j + -3j = 19 + 3j + -3j Combine like terms: -9j + -3j = -12j 7 + -12j = 19 + 3j + -3j Combine like terms: 3j + -3j = 0 7 + -12j = 19 + 0 7 + -12j = 19 Add '-7' to each side of the equation. 7 + -7 + -12j = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -12j = 19 + -7 -12j = 19 + -7 Combine like terms: 19 + -7 = 12 -12j = 12 Divide each side by '-12'. j = -1 Simplifying j = -1
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