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Simplifying (12j + -18) + -1(4 + 2j) + -3j = 0 Reorder the terms: (-18 + 12j) + -1(4 + 2j) + -3j = 0 Remove parenthesis around (-18 + 12j) -18 + 12j + -1(4 + 2j) + -3j = 0 -18 + 12j + (4 * -1 + 2j * -1) + -3j = 0 -18 + 12j + (-4 + -2j) + -3j = 0 Reorder the terms: -18 + -4 + 12j + -2j + -3j = 0 Combine like terms: -18 + -4 = -22 -22 + 12j + -2j + -3j = 0 Combine like terms: 12j + -2j = 10j -22 + 10j + -3j = 0 Combine like terms: 10j + -3j = 7j -22 + 7j = 0 Solving -22 + 7j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 7j = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 7j = 0 + 22 7j = 0 + 22 Combine like terms: 0 + 22 = 22 7j = 22 Divide each side by '7'. j = 3.142857143 Simplifying j = 3.142857143
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