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Simplifying 62(3j + -2) = 4(1 + j) Reorder the terms: 62(-2 + 3j) = 4(1 + j) (-2 * 62 + 3j * 62) = 4(1 + j) (-124 + 186j) = 4(1 + j) -124 + 186j = (1 * 4 + j * 4) -124 + 186j = (4 + 4j) Solving -124 + 186j = 4 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -124 + 186j + -4j = 4 + 4j + -4j Combine like terms: 186j + -4j = 182j -124 + 182j = 4 + 4j + -4j Combine like terms: 4j + -4j = 0 -124 + 182j = 4 + 0 -124 + 182j = 4 Add '124' to each side of the equation. -124 + 124 + 182j = 4 + 124 Combine like terms: -124 + 124 = 0 0 + 182j = 4 + 124 182j = 4 + 124 Combine like terms: 4 + 124 = 128 182j = 128 Divide each side by '182'. j = 0.7032967033 Simplifying j = 0.7032967033
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