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Simplifying n + 81 = 5n + -91 Reorder the terms: 81 + n = 5n + -91 Reorder the terms: 81 + n = -91 + 5n Solving 81 + n = -91 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 81 + n + -5n = -91 + 5n + -5n Combine like terms: n + -5n = -4n 81 + -4n = -91 + 5n + -5n Combine like terms: 5n + -5n = 0 81 + -4n = -91 + 0 81 + -4n = -91 Add '-81' to each side of the equation. 81 + -81 + -4n = -91 + -81 Combine like terms: 81 + -81 = 0 0 + -4n = -91 + -81 -4n = -91 + -81 Combine like terms: -91 + -81 = -172 -4n = -172 Divide each side by '-4'. n = 43 Simplifying n = 43
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