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Simplifying 120 + -1(qi + qb) = 2qi Reorder the terms: 120 + -1(bq + iq) = 2qi 120 + (bq * -1 + iq * -1) = 2qi 120 + (-1bq + -1iq) = 2qi Solving 120 + -1bq + -1iq = 2iq Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -1bq + -120 + -1iq = -120 + 2iq Reorder the terms: 120 + -120 + -1bq + -1iq = -120 + 2iq Combine like terms: 120 + -120 = 0 0 + -1bq + -1iq = -120 + 2iq -1bq + -1iq = -120 + 2iq Add 'iq' to each side of the equation. -1bq + -1iq + iq = -120 + 2iq + iq Combine like terms: -1iq + iq = 0 -1bq + 0 = -120 + 2iq + iq -1bq = -120 + 2iq + iq Combine like terms: 2iq + iq = 3iq -1bq = -120 + 3iq Divide each side by '-1q'. b = 120q-1 + -3i Simplifying b = 120q-1 + -3i Reorder the terms: b = -3i + 120q-1
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