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Simplifying 6(8 + -5i) + -1(8i) = 0 (8 * 6 + -5i * 6) + -1(8i) = 0 (48 + -30i) + -1(8i) = 0 Remove parenthesis around (8i) 48 + -30i + -1 * 8i = 0 Multiply -1 * 8 48 + -30i + -8i = 0 Combine like terms: -30i + -8i = -38i 48 + -38i = 0 Solving 48 + -38i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -38i = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -38i = 0 + -48 -38i = 0 + -48 Combine like terms: 0 + -48 = -48 -38i = -48 Divide each side by '-38'. i = 1.263157895 Simplifying i = 1.263157895
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