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Simplifying 5.5j + 8.9k + -4.7k + -10.9j = 0 Reorder the terms: 5.5j + -10.9j + 8.9k + -4.7k = 0 Combine like terms: 5.5j + -10.9j = -5.4j -5.4j + 8.9k + -4.7k = 0 Combine like terms: 8.9k + -4.7k = 4.2k -5.4j + 4.2k = 0 Solving -5.4j + 4.2k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4.2k' to each side of the equation. -5.4j + 4.2k + -4.2k = 0 + -4.2k Combine like terms: 4.2k + -4.2k = 0.0 -5.4j + 0.0 = 0 + -4.2k -5.4j = 0 + -4.2k Remove the zero: -5.4j = -4.2k Divide each side by '-5.4'. j = 0.7777777778k Simplifying j = 0.7777777778k
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