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Simplifying 13n + -5 + 14 = 21n + -3n + -40 + 14 Reorder the terms: -5 + 14 + 13n = 21n + -3n + -40 + 14 Combine like terms: -5 + 14 = 9 9 + 13n = 21n + -3n + -40 + 14 Reorder the terms: 9 + 13n = -40 + 14 + 21n + -3n Combine like terms: -40 + 14 = -26 9 + 13n = -26 + 21n + -3n Combine like terms: 21n + -3n = 18n 9 + 13n = -26 + 18n Solving 9 + 13n = -26 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 9 + 13n + -18n = -26 + 18n + -18n Combine like terms: 13n + -18n = -5n 9 + -5n = -26 + 18n + -18n Combine like terms: 18n + -18n = 0 9 + -5n = -26 + 0 9 + -5n = -26 Add '-9' to each side of the equation. 9 + -9 + -5n = -26 + -9 Combine like terms: 9 + -9 = 0 0 + -5n = -26 + -9 -5n = -26 + -9 Combine like terms: -26 + -9 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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