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Simplifying 6j + 7 = 21 + -1j Reorder the terms: 7 + 6j = 21 + -1j Solving 7 + 6j = 21 + -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. 7 + 6j + j = 21 + -1j + j Combine like terms: 6j + j = 7j 7 + 7j = 21 + -1j + j Combine like terms: -1j + j = 0 7 + 7j = 21 + 0 7 + 7j = 21 Add '-7' to each side of the equation. 7 + -7 + 7j = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 7j = 21 + -7 7j = 21 + -7 Combine like terms: 21 + -7 = 14 7j = 14 Divide each side by '7'. j = 2 Simplifying j = 2
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