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Simplifying j + 19 = 7 + 3j Reorder the terms: 19 + j = 7 + 3j Solving 19 + j = 7 + 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. 19 + j + -3j = 7 + 3j + -3j Combine like terms: j + -3j = -2j 19 + -2j = 7 + 3j + -3j Combine like terms: 3j + -3j = 0 19 + -2j = 7 + 0 19 + -2j = 7 Add '-19' to each side of the equation. 19 + -19 + -2j = 7 + -19 Combine like terms: 19 + -19 = 0 0 + -2j = 7 + -19 -2j = 7 + -19 Combine like terms: 7 + -19 = -12 -2j = -12 Divide each side by '-2'. j = 6 Simplifying j = 6
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