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Simplifying 3 + 5j + -6 = 2j + -18 Reorder the terms: 3 + -6 + 5j = 2j + -18 Combine like terms: 3 + -6 = -3 -3 + 5j = 2j + -18 Reorder the terms: -3 + 5j = -18 + 2j Solving -3 + 5j = -18 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. -3 + 5j + -2j = -18 + 2j + -2j Combine like terms: 5j + -2j = 3j -3 + 3j = -18 + 2j + -2j Combine like terms: 2j + -2j = 0 -3 + 3j = -18 + 0 -3 + 3j = -18 Add '3' to each side of the equation. -3 + 3 + 3j = -18 + 3 Combine like terms: -3 + 3 = 0 0 + 3j = -18 + 3 3j = -18 + 3 Combine like terms: -18 + 3 = -15 3j = -15 Divide each side by '3'. j = -5 Simplifying j = -5
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