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Simplifying -6ik + j + 10k + -1 = -5j + 9k + 2 Reorder the terms: -1 + -6ik + j + 10k = -5j + 9k + 2 Reorder the terms: -1 + -6ik + j + 10k = 2 + -5j + 9k Solving -1 + -6ik + j + 10k = 2 + -5j + 9k Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6ik + j + 1 + 10k = 2 + -5j + 1 + 9k Reorder the terms: -1 + 1 + -6ik + j + 10k = 2 + -5j + 1 + 9k Combine like terms: -1 + 1 = 0 0 + -6ik + j + 10k = 2 + -5j + 1 + 9k -6ik + j + 10k = 2 + -5j + 1 + 9k Reorder the terms: -6ik + j + 10k = 2 + 1 + -5j + 9k Combine like terms: 2 + 1 = 3 -6ik + j + 10k = 3 + -5j + 9k Add '-1j' to each side of the equation. -6ik + j + -1j + 10k = 3 + -5j + -1j + 9k Combine like terms: j + -1j = 0 -6ik + 0 + 10k = 3 + -5j + -1j + 9k -6ik + 10k = 3 + -5j + -1j + 9k Combine like terms: -5j + -1j = -6j -6ik + 10k = 3 + -6j + 9k Add '-10k' to each side of the equation. -6ik + 10k + -10k = 3 + -6j + 9k + -10k Combine like terms: 10k + -10k = 0 -6ik + 0 = 3 + -6j + 9k + -10k -6ik = 3 + -6j + 9k + -10k Combine like terms: 9k + -10k = -1k -6ik = 3 + -6j + -1k Divide each side by '-6k'. i = -0.5k-1 + jk-1 + 0.1666666667 Simplifying i = -0.5k-1 + jk-1 + 0.1666666667 Reorder the terms: i = 0.1666666667 + jk-1 + -0.5k-1
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