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Simplifying 7i + 2k + -3j = 0 Reorder the terms: 7i + -3j + 2k = 0 Solving 7i + -3j + 2k = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3j' to each side of the equation. 7i + -3j + 3j + 2k = 0 + 3j Combine like terms: -3j + 3j = 0 7i + 0 + 2k = 0 + 3j 7i + 2k = 0 + 3j Remove the zero: 7i + 2k = 3j Add '-2k' to each side of the equation. 7i + 2k + -2k = 3j + -2k Combine like terms: 2k + -2k = 0 7i + 0 = 3j + -2k 7i = 3j + -2k Divide each side by '7'. i = 0.4285714286j + -0.2857142857k Simplifying i = 0.4285714286j + -0.2857142857k
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