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Simplifying j + -3 = 7 + 6j Reorder the terms: -3 + j = 7 + 6j Solving -3 + j = 7 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. -3 + j + -6j = 7 + 6j + -6j Combine like terms: j + -6j = -5j -3 + -5j = 7 + 6j + -6j Combine like terms: 6j + -6j = 0 -3 + -5j = 7 + 0 -3 + -5j = 7 Add '3' to each side of the equation. -3 + 3 + -5j = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -5j = 7 + 3 -5j = 7 + 3 Combine like terms: 7 + 3 = 10 -5j = 10 Divide each side by '-5'. j = -2 Simplifying j = -2
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