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Simplifying -14 + j + 6 = 18 + -1j Reorder the terms: -14 + 6 + j = 18 + -1j Combine like terms: -14 + 6 = -8 -8 + j = 18 + -1j Solving -8 + j = 18 + -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. -8 + j + j = 18 + -1j + j Combine like terms: j + j = 2j -8 + 2j = 18 + -1j + j Combine like terms: -1j + j = 0 -8 + 2j = 18 + 0 -8 + 2j = 18 Add '8' to each side of the equation. -8 + 8 + 2j = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 2j = 18 + 8 2j = 18 + 8 Combine like terms: 18 + 8 = 26 2j = 26 Divide each side by '2'. j = 13 Simplifying j = 13
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