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Simplifying 19j + 19 = 11j + -17 + 12j Reorder the terms: 19 + 19j = 11j + -17 + 12j Reorder the terms: 19 + 19j = -17 + 11j + 12j Combine like terms: 11j + 12j = 23j 19 + 19j = -17 + 23j Solving 19 + 19j = -17 + 23j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-23j' to each side of the equation. 19 + 19j + -23j = -17 + 23j + -23j Combine like terms: 19j + -23j = -4j 19 + -4j = -17 + 23j + -23j Combine like terms: 23j + -23j = 0 19 + -4j = -17 + 0 19 + -4j = -17 Add '-19' to each side of the equation. 19 + -19 + -4j = -17 + -19 Combine like terms: 19 + -19 = 0 0 + -4j = -17 + -19 -4j = -17 + -19 Combine like terms: -17 + -19 = -36 -4j = -36 Divide each side by '-4'. j = 9 Simplifying j = 9
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