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Simplifying 3j + 27 = -1j + 7 Reorder the terms: 27 + 3j = -1j + 7 Reorder the terms: 27 + 3j = 7 + -1j Solving 27 + 3j = 7 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. 27 + 3j + j = 7 + -1j + j Combine like terms: 3j + j = 4j 27 + 4j = 7 + -1j + j Combine like terms: -1j + j = 0 27 + 4j = 7 + 0 27 + 4j = 7 Add '-27' to each side of the equation. 27 + -27 + 4j = 7 + -27 Combine like terms: 27 + -27 = 0 0 + 4j = 7 + -27 4j = 7 + -27 Combine like terms: 7 + -27 = -20 4j = -20 Divide each side by '4'. j = -5 Simplifying j = -5
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