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Simplifying 1 + -4j = -2j + -7 Reorder the terms: 1 + -4j = -7 + -2j Solving 1 + -4j = -7 + -2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2j' to each side of the equation. 1 + -4j + 2j = -7 + -2j + 2j Combine like terms: -4j + 2j = -2j 1 + -2j = -7 + -2j + 2j Combine like terms: -2j + 2j = 0 1 + -2j = -7 + 0 1 + -2j = -7 Add '-1' to each side of the equation. 1 + -1 + -2j = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2j = -7 + -1 -2j = -7 + -1 Combine like terms: -7 + -1 = -8 -2j = -8 Divide each side by '-2'. j = 4 Simplifying j = 4
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