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