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Simplifying 2(-5 + -7j) = 10 + -4j (-5 * 2 + -7j * 2) = 10 + -4j (-10 + -14j) = 10 + -4j Solving -10 + -14j = 10 + -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. -10 + -14j + 4j = 10 + -4j + 4j Combine like terms: -14j + 4j = -10j -10 + -10j = 10 + -4j + 4j Combine like terms: -4j + 4j = 0 -10 + -10j = 10 + 0 -10 + -10j = 10 Add '10' to each side of the equation. -10 + 10 + -10j = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -10j = 10 + 10 -10j = 10 + 10 Combine like terms: 10 + 10 = 20 -10j = 20 Divide each side by '-10'. j = -2 Simplifying j = -2
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