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