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Simplifying 5i + -5 = (8 + -9i) Reorder the terms: -5 + 5i = (8 + -9i) Remove parenthesis around (8 + -9i) -5 + 5i = 8 + -9i Solving -5 + 5i = 8 + -9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9i' to each side of the equation. -5 + 5i + 9i = 8 + -9i + 9i Combine like terms: 5i + 9i = 14i -5 + 14i = 8 + -9i + 9i Combine like terms: -9i + 9i = 0 -5 + 14i = 8 + 0 -5 + 14i = 8 Add '5' to each side of the equation. -5 + 5 + 14i = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 14i = 8 + 5 14i = 8 + 5 Combine like terms: 8 + 5 = 13 14i = 13 Divide each side by '14'. i = 0.9285714286 Simplifying i = 0.9285714286
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