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Simplifying 2j + -6 = -1j + 9 Reorder the terms: -6 + 2j = -1j + 9 Reorder the terms: -6 + 2j = 9 + -1j Solving -6 + 2j = 9 + -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. -6 + 2j + j = 9 + -1j + j Combine like terms: 2j + j = 3j -6 + 3j = 9 + -1j + j Combine like terms: -1j + j = 0 -6 + 3j = 9 + 0 -6 + 3j = 9 Add '6' to each side of the equation. -6 + 6 + 3j = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3j = 9 + 6 3j = 9 + 6 Combine like terms: 9 + 6 = 15 3j = 15 Divide each side by '3'. j = 5 Simplifying j = 5
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