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Simplifying -12 + -16 + 14j = 11j + 17 Combine like terms: -12 + -16 = -28 -28 + 14j = 11j + 17 Reorder the terms: -28 + 14j = 17 + 11j Solving -28 + 14j = 17 + 11j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-11j' to each side of the equation. -28 + 14j + -11j = 17 + 11j + -11j Combine like terms: 14j + -11j = 3j -28 + 3j = 17 + 11j + -11j Combine like terms: 11j + -11j = 0 -28 + 3j = 17 + 0 -28 + 3j = 17 Add '28' to each side of the equation. -28 + 28 + 3j = 17 + 28 Combine like terms: -28 + 28 = 0 0 + 3j = 17 + 28 3j = 17 + 28 Combine like terms: 17 + 28 = 45 3j = 45 Divide each side by '3'. j = 15 Simplifying j = 15
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