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Simplifying 2j + -1 = j + 8 + -2j Reorder the terms: -1 + 2j = j + 8 + -2j Reorder the terms: -1 + 2j = 8 + j + -2j Combine like terms: j + -2j = -1j -1 + 2j = 8 + -1j Solving -1 + 2j = 8 + -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. -1 + 2j + j = 8 + -1j + j Combine like terms: 2j + j = 3j -1 + 3j = 8 + -1j + j Combine like terms: -1j + j = 0 -1 + 3j = 8 + 0 -1 + 3j = 8 Add '1' to each side of the equation. -1 + 1 + 3j = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3j = 8 + 1 3j = 8 + 1 Combine like terms: 8 + 1 = 9 3j = 9 Divide each side by '3'. j = 3 Simplifying j = 3
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