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Simplifying j + 81 = 9j + -7 Reorder the terms: 81 + j = 9j + -7 Reorder the terms: 81 + j = -7 + 9j Solving 81 + j = -7 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. 81 + j + -9j = -7 + 9j + -9j Combine like terms: j + -9j = -8j 81 + -8j = -7 + 9j + -9j Combine like terms: 9j + -9j = 0 81 + -8j = -7 + 0 81 + -8j = -7 Add '-81' to each side of the equation. 81 + -81 + -8j = -7 + -81 Combine like terms: 81 + -81 = 0 0 + -8j = -7 + -81 -8j = -7 + -81 Combine like terms: -7 + -81 = -88 -8j = -88 Divide each side by '-8'. j = 11 Simplifying j = 11
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