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Simplifying 14 + 9j + -4j + -6 = 2j + 30 Reorder the terms: 14 + -6 + 9j + -4j = 2j + 30 Combine like terms: 14 + -6 = 8 8 + 9j + -4j = 2j + 30 Combine like terms: 9j + -4j = 5j 8 + 5j = 2j + 30 Reorder the terms: 8 + 5j = 30 + 2j Solving 8 + 5j = 30 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 8 + 5j + -2j = 30 + 2j + -2j Combine like terms: 5j + -2j = 3j 8 + 3j = 30 + 2j + -2j Combine like terms: 2j + -2j = 0 8 + 3j = 30 + 0 8 + 3j = 30 Add '-8' to each side of the equation. 8 + -8 + 3j = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 3j = 30 + -8 3j = 30 + -8 Combine like terms: 30 + -8 = 22 3j = 22 Divide each side by '3'. j = 7.333333333 Simplifying j = 7.333333333
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