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Simplifying r4 + -1i * r3 + -8r + 8 = 0 Multiply i * r3 r4 + -1ir3 + -8r + 8 = 0 Reorder the terms: 8 + -1ir3 + -8r + r4 = 0 Solving 8 + -1ir3 + -8r + r4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1ir3 + -8r + -8 + r4 = 0 + -8 Reorder the terms: 8 + -8 + -1ir3 + -8r + r4 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1ir3 + -8r + r4 = 0 + -8 -1ir3 + -8r + r4 = 0 + -8 Combine like terms: 0 + -8 = -8 -1ir3 + -8r + r4 = -8 Add '8r' to each side of the equation. -1ir3 + -8r + 8r + r4 = -8 + 8r Combine like terms: -8r + 8r = 0 -1ir3 + 0 + r4 = -8 + 8r -1ir3 + r4 = -8 + 8r Add '-1r4' to each side of the equation. -1ir3 + r4 + -1r4 = -8 + 8r + -1r4 Combine like terms: r4 + -1r4 = 0 -1ir3 + 0 = -8 + 8r + -1r4 -1ir3 = -8 + 8r + -1r4 Divide each side by '-1r3'. i = 8r-3 + -8r-2 + r Simplifying i = 8r-3 + -8r-2 + r
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