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Simplifying -16(10i + -90) = 32(8u + 71) Reorder the terms: -16(-90 + 10i) = 32(8u + 71) (-90 * -16 + 10i * -16) = 32(8u + 71) (1440 + -160i) = 32(8u + 71) Reorder the terms: 1440 + -160i = 32(71 + 8u) 1440 + -160i = (71 * 32 + 8u * 32) 1440 + -160i = (2272 + 256u) Solving 1440 + -160i = 2272 + 256u Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1440' to each side of the equation. 1440 + -1440 + -160i = 2272 + -1440 + 256u Combine like terms: 1440 + -1440 = 0 0 + -160i = 2272 + -1440 + 256u -160i = 2272 + -1440 + 256u Combine like terms: 2272 + -1440 = 832 -160i = 832 + 256u Divide each side by '-160'. i = -5.2 + -1.6u Simplifying i = -5.2 + -1.6u
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