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Simplifying n * 5 + 86 = n * 11 + -10 Reorder the terms for easier multiplication: 5n + 86 = n * 11 + -10 Reorder the terms: 86 + 5n = n * 11 + -10 Reorder the terms for easier multiplication: 86 + 5n = 11n + -10 Reorder the terms: 86 + 5n = -10 + 11n Solving 86 + 5n = -10 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 86 + 5n + -11n = -10 + 11n + -11n Combine like terms: 5n + -11n = -6n 86 + -6n = -10 + 11n + -11n Combine like terms: 11n + -11n = 0 86 + -6n = -10 + 0 86 + -6n = -10 Add '-86' to each side of the equation. 86 + -86 + -6n = -10 + -86 Combine like terms: 86 + -86 = 0 0 + -6n = -10 + -86 -6n = -10 + -86 Combine like terms: -10 + -86 = -96 -6n = -96 Divide each side by '-6'. n = 16 Simplifying n = 16
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