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Simplifying j + -3j + 3 = j + 12 Reorder the terms: 3 + j + -3j = j + 12 Combine like terms: j + -3j = -2j 3 + -2j = j + 12 Reorder the terms: 3 + -2j = 12 + j Solving 3 + -2j = 12 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 3 + -2j + -1j = 12 + j + -1j Combine like terms: -2j + -1j = -3j 3 + -3j = 12 + j + -1j Combine like terms: j + -1j = 0 3 + -3j = 12 + 0 3 + -3j = 12 Add '-3' to each side of the equation. 3 + -3 + -3j = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3j = 12 + -3 -3j = 12 + -3 Combine like terms: 12 + -3 = 9 -3j = 9 Divide each side by '-3'. j = -3 Simplifying j = -3
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