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Simplifying 2j + -3 + j = 33 + -1j Reorder the terms: -3 + 2j + j = 33 + -1j Combine like terms: 2j + j = 3j -3 + 3j = 33 + -1j Solving -3 + 3j = 33 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. -3 + 3j + j = 33 + -1j + j Combine like terms: 3j + j = 4j -3 + 4j = 33 + -1j + j Combine like terms: -1j + j = 0 -3 + 4j = 33 + 0 -3 + 4j = 33 Add '3' to each side of the equation. -3 + 3 + 4j = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 4j = 33 + 3 4j = 33 + 3 Combine like terms: 33 + 3 = 36 4j = 36 Divide each side by '4'. j = 9 Simplifying j = 9
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