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Simplifying 8j + 16 = 15j + -82 Reorder the terms: 16 + 8j = 15j + -82 Reorder the terms: 16 + 8j = -82 + 15j Solving 16 + 8j = -82 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. 16 + 8j + -15j = -82 + 15j + -15j Combine like terms: 8j + -15j = -7j 16 + -7j = -82 + 15j + -15j Combine like terms: 15j + -15j = 0 16 + -7j = -82 + 0 16 + -7j = -82 Add '-16' to each side of the equation. 16 + -16 + -7j = -82 + -16 Combine like terms: 16 + -16 = 0 0 + -7j = -82 + -16 -7j = -82 + -16 Combine like terms: -82 + -16 = -98 -7j = -98 Divide each side by '-7'. j = 14 Simplifying j = 14
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