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Simplifying -5(1 + -5j) + (-8j + -2) = -4j + -8j (1 * -5 + -5j * -5) + (-8j + -2) = -4j + -8j (-5 + 25j) + (-8j + -2) = -4j + -8j Reorder the terms: -5 + 25j + (-2 + -8j) = -4j + -8j Remove parenthesis around (-2 + -8j) -5 + 25j + -2 + -8j = -4j + -8j Reorder the terms: -5 + -2 + 25j + -8j = -4j + -8j Combine like terms: -5 + -2 = -7 -7 + 25j + -8j = -4j + -8j Combine like terms: 25j + -8j = 17j -7 + 17j = -4j + -8j Combine like terms: -4j + -8j = -12j -7 + 17j = -12j Solving -7 + 17j = -12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12j' to each side of the equation. -7 + 17j + 12j = -12j + 12j Combine like terms: 17j + 12j = 29j -7 + 29j = -12j + 12j Combine like terms: -12j + 12j = 0 -7 + 29j = 0 Add '7' to each side of the equation. -7 + 7 + 29j = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 29j = 0 + 7 29j = 0 + 7 Combine like terms: 0 + 7 = 7 29j = 7 Divide each side by '29'. j = 0.2413793103 Simplifying j = 0.2413793103
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