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Simplifying j + -1(5 + -2j) = 7j + 4 j + (5 * -1 + -2j * -1) = 7j + 4 j + (-5 + 2j) = 7j + 4 Reorder the terms: -5 + j + 2j = 7j + 4 Combine like terms: j + 2j = 3j -5 + 3j = 7j + 4 Reorder the terms: -5 + 3j = 4 + 7j Solving -5 + 3j = 4 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. -5 + 3j + -7j = 4 + 7j + -7j Combine like terms: 3j + -7j = -4j -5 + -4j = 4 + 7j + -7j Combine like terms: 7j + -7j = 0 -5 + -4j = 4 + 0 -5 + -4j = 4 Add '5' to each side of the equation. -5 + 5 + -4j = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -4j = 4 + 5 -4j = 4 + 5 Combine like terms: 4 + 5 = 9 -4j = 9 Divide each side by '-4'. j = -2.25 Simplifying j = -2.25
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