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Simplifying -10ik + -2j + 9k + -6 = -3j + -1k + 9 Reorder the terms: -6 + -10ik + -2j + 9k = -3j + -1k + 9 Reorder the terms: -6 + -10ik + -2j + 9k = 9 + -3j + -1k Solving -6 + -10ik + -2j + 9k = 9 + -3j + -1k Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -10ik + -2j + 6 + 9k = 9 + -3j + 6 + -1k Reorder the terms: -6 + 6 + -10ik + -2j + 9k = 9 + -3j + 6 + -1k Combine like terms: -6 + 6 = 0 0 + -10ik + -2j + 9k = 9 + -3j + 6 + -1k -10ik + -2j + 9k = 9 + -3j + 6 + -1k Reorder the terms: -10ik + -2j + 9k = 9 + 6 + -3j + -1k Combine like terms: 9 + 6 = 15 -10ik + -2j + 9k = 15 + -3j + -1k Add '2j' to each side of the equation. -10ik + -2j + 2j + 9k = 15 + -3j + 2j + -1k Combine like terms: -2j + 2j = 0 -10ik + 0 + 9k = 15 + -3j + 2j + -1k -10ik + 9k = 15 + -3j + 2j + -1k Combine like terms: -3j + 2j = -1j -10ik + 9k = 15 + -1j + -1k Add '-9k' to each side of the equation. -10ik + 9k + -9k = 15 + -1j + -1k + -9k Combine like terms: 9k + -9k = 0 -10ik + 0 = 15 + -1j + -1k + -9k -10ik = 15 + -1j + -1k + -9k Combine like terms: -1k + -9k = -10k -10ik = 15 + -1j + -10k Divide each side by '-10k'. i = -1.5k-1 + 0.1jk-1 + 1 Simplifying i = -1.5k-1 + 0.1jk-1 + 1 Reorder the terms: i = 1 + 0.1jk-1 + -1.5k-1
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