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Simplifying 13n + 6 + -10n + -6n + 6 + 14 = 5n + 1 + -26 + -2n Reorder the terms: 6 + 6 + 14 + 13n + -10n + -6n = 5n + 1 + -26 + -2n Combine like terms: 6 + 6 = 12 12 + 14 + 13n + -10n + -6n = 5n + 1 + -26 + -2n Combine like terms: 12 + 14 = 26 26 + 13n + -10n + -6n = 5n + 1 + -26 + -2n Combine like terms: 13n + -10n = 3n 26 + 3n + -6n = 5n + 1 + -26 + -2n Combine like terms: 3n + -6n = -3n 26 + -3n = 5n + 1 + -26 + -2n Reorder the terms: 26 + -3n = 1 + -26 + 5n + -2n Combine like terms: 1 + -26 = -25 26 + -3n = -25 + 5n + -2n Combine like terms: 5n + -2n = 3n 26 + -3n = -25 + 3n Solving 26 + -3n = -25 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 26 + -3n + -3n = -25 + 3n + -3n Combine like terms: -3n + -3n = -6n 26 + -6n = -25 + 3n + -3n Combine like terms: 3n + -3n = 0 26 + -6n = -25 + 0 26 + -6n = -25 Add '-26' to each side of the equation. 26 + -26 + -6n = -25 + -26 Combine like terms: 26 + -26 = 0 0 + -6n = -25 + -26 -6n = -25 + -26 Combine like terms: -25 + -26 = -51 -6n = -51 Divide each side by '-6'. n = 8.5 Simplifying n = 8.5
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