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Simplifying 6j + 9 = -6j + -82 Reorder the terms: 9 + 6j = -6j + -82 Reorder the terms: 9 + 6j = -82 + -6j Solving 9 + 6j = -82 + -6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '6j' to each side of the equation. 9 + 6j + 6j = -82 + -6j + 6j Combine like terms: 6j + 6j = 12j 9 + 12j = -82 + -6j + 6j Combine like terms: -6j + 6j = 0 9 + 12j = -82 + 0 9 + 12j = -82 Add '-9' to each side of the equation. 9 + -9 + 12j = -82 + -9 Combine like terms: 9 + -9 = 0 0 + 12j = -82 + -9 12j = -82 + -9 Combine like terms: -82 + -9 = -91 12j = -91 Divide each side by '12'. j = -7.583333333 Simplifying j = -7.583333333
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