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Simplifying -19 + -17 + -12j = 20 + -20j Combine like terms: -19 + -17 = -36 -36 + -12j = 20 + -20j Solving -36 + -12j = 20 + -20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '20j' to each side of the equation. -36 + -12j + 20j = 20 + -20j + 20j Combine like terms: -12j + 20j = 8j -36 + 8j = 20 + -20j + 20j Combine like terms: -20j + 20j = 0 -36 + 8j = 20 + 0 -36 + 8j = 20 Add '36' to each side of the equation. -36 + 36 + 8j = 20 + 36 Combine like terms: -36 + 36 = 0 0 + 8j = 20 + 36 8j = 20 + 36 Combine like terms: 20 + 36 = 56 8j = 56 Divide each side by '8'. j = 7 Simplifying j = 7
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