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Simplifying 9jk + 2k + -7ki + -15j = 0 Reorder the terms: -7ik + -15j + 9jk + 2k = 0 Solving -7ik + -15j + 9jk + 2k = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15j' to each side of the equation. -7ik + -15j + 9jk + 15j + 2k = 0 + 15j Reorder the terms: -7ik + -15j + 15j + 9jk + 2k = 0 + 15j Combine like terms: -15j + 15j = 0 -7ik + 0 + 9jk + 2k = 0 + 15j -7ik + 9jk + 2k = 0 + 15j Remove the zero: -7ik + 9jk + 2k = 15j Add '-9jk' to each side of the equation. -7ik + 9jk + -9jk + 2k = 15j + -9jk Combine like terms: 9jk + -9jk = 0 -7ik + 0 + 2k = 15j + -9jk -7ik + 2k = 15j + -9jk Add '-2k' to each side of the equation. -7ik + 2k + -2k = 15j + -9jk + -2k Combine like terms: 2k + -2k = 0 -7ik + 0 = 15j + -9jk + -2k -7ik = 15j + -9jk + -2k Divide each side by '-7k'. i = -2.142857143jk-1 + 1.285714286j + 0.2857142857 Simplifying i = -2.142857143jk-1 + 1.285714286j + 0.2857142857 Reorder the terms: i = 0.2857142857 + 1.285714286j + -2.142857143jk-1
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