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Simplifying 3j + -1 + 4j = 5 + -6 + 6j Reorder the terms: -1 + 3j + 4j = 5 + -6 + 6j Combine like terms: 3j + 4j = 7j -1 + 7j = 5 + -6 + 6j Combine like terms: 5 + -6 = -1 -1 + 7j = -1 + 6j Add '1' to each side of the equation. -1 + 1 + 7j = -1 + 1 + 6j Combine like terms: -1 + 1 = 0 0 + 7j = -1 + 1 + 6j 7j = -1 + 1 + 6j Combine like terms: -1 + 1 = 0 7j = 0 + 6j 7j = 6j Solving 7j = 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. 7j + -6j = 6j + -6j Combine like terms: 7j + -6j = 1j 1j = 6j + -6j Combine like terms: 6j + -6j = 0 1j = 0 Divide each side by '1'. j = 0 Simplifying j = 0
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