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Simplifying (12j + -21) + -1(15 + -18j) + -9j = 0 Reorder the terms: (-21 + 12j) + -1(15 + -18j) + -9j = 0 Remove parenthesis around (-21 + 12j) -21 + 12j + -1(15 + -18j) + -9j = 0 -21 + 12j + (15 * -1 + -18j * -1) + -9j = 0 -21 + 12j + (-15 + 18j) + -9j = 0 Reorder the terms: -21 + -15 + 12j + 18j + -9j = 0 Combine like terms: -21 + -15 = -36 -36 + 12j + 18j + -9j = 0 Combine like terms: 12j + 18j = 30j -36 + 30j + -9j = 0 Combine like terms: 30j + -9j = 21j -36 + 21j = 0 Solving -36 + 21j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 21j = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 21j = 0 + 36 21j = 0 + 36 Combine like terms: 0 + 36 = 36 21j = 36 Divide each side by '21'. j = 1.714285714 Simplifying j = 1.714285714
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