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Simplifying 7j + 96 = 19j + -48 Reorder the terms: 96 + 7j = 19j + -48 Reorder the terms: 96 + 7j = -48 + 19j Solving 96 + 7j = -48 + 19j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-19j' to each side of the equation. 96 + 7j + -19j = -48 + 19j + -19j Combine like terms: 7j + -19j = -12j 96 + -12j = -48 + 19j + -19j Combine like terms: 19j + -19j = 0 96 + -12j = -48 + 0 96 + -12j = -48 Add '-96' to each side of the equation. 96 + -96 + -12j = -48 + -96 Combine like terms: 96 + -96 = 0 0 + -12j = -48 + -96 -12j = -48 + -96 Combine like terms: -48 + -96 = -144 -12j = -144 Divide each side by '-12'. j = 12 Simplifying j = 12
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