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Simplifying 6 + j = -2j + -9 Reorder the terms: 6 + j = -9 + -2j Solving 6 + j = -9 + -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. 6 + j + 2j = -9 + -2j + 2j Combine like terms: j + 2j = 3j 6 + 3j = -9 + -2j + 2j Combine like terms: -2j + 2j = 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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