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Simplifying 12 + 7j = j + -6 Reorder the terms: 12 + 7j = -6 + j Solving 12 + 7j = -6 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 12 + 7j + -1j = -6 + j + -1j Combine like terms: 7j + -1j = 6j 12 + 6j = -6 + j + -1j Combine like terms: j + -1j = 0 12 + 6j = -6 + 0 12 + 6j = -6 Add '-12' to each side of the equation. 12 + -12 + 6j = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6j = -6 + -12 6j = -6 + -12 Combine like terms: -6 + -12 = -18 6j = -18 Divide each side by '6'. j = -3 Simplifying j = -3
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