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Simplifying -4j + 3 = -7 + j Reorder the terms: 3 + -4j = -7 + j Solving 3 + -4j = -7 + 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. 3 + -4j + -1j = -7 + j + -1j Combine like terms: -4j + -1j = -5j 3 + -5j = -7 + j + -1j Combine like terms: j + -1j = 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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