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Simplifying (10j + -7) + -1(-9j + 2) = 0 Reorder the terms: (-7 + 10j) + -1(-9j + 2) = 0 Remove parenthesis around (-7 + 10j) -7 + 10j + -1(-9j + 2) = 0 Reorder the terms: -7 + 10j + -1(2 + -9j) = 0 -7 + 10j + (2 * -1 + -9j * -1) = 0 -7 + 10j + (-2 + 9j) = 0 Reorder the terms: -7 + -2 + 10j + 9j = 0 Combine like terms: -7 + -2 = -9 -9 + 10j + 9j = 0 Combine like terms: 10j + 9j = 19j -9 + 19j = 0 Solving -9 + 19j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 19j = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 19j = 0 + 9 19j = 0 + 9 Combine like terms: 0 + 9 = 9 19j = 9 Divide each side by '19'. j = 0.4736842105 Simplifying j = 0.4736842105
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