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Simplifying -3j + 12 + 11j = 5j + 33 Reorder the terms: 12 + -3j + 11j = 5j + 33 Combine like terms: -3j + 11j = 8j 12 + 8j = 5j + 33 Reorder the terms: 12 + 8j = 33 + 5j Solving 12 + 8j = 33 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. 12 + 8j + -5j = 33 + 5j + -5j Combine like terms: 8j + -5j = 3j 12 + 3j = 33 + 5j + -5j Combine like terms: 5j + -5j = 0 12 + 3j = 33 + 0 12 + 3j = 33 Add '-12' to each side of the equation. 12 + -12 + 3j = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 3j = 33 + -12 3j = 33 + -12 Combine like terms: 33 + -12 = 21 3j = 21 Divide each side by '3'. j = 7 Simplifying j = 7
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