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Simplifying 8 + 13n + -1 = 9n + 27 + -6n Reorder the terms: 8 + -1 + 13n = 9n + 27 + -6n Combine like terms: 8 + -1 = 7 7 + 13n = 9n + 27 + -6n Reorder the terms: 7 + 13n = 27 + 9n + -6n Combine like terms: 9n + -6n = 3n 7 + 13n = 27 + 3n Solving 7 + 13n = 27 + 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. 7 + 13n + -3n = 27 + 3n + -3n Combine like terms: 13n + -3n = 10n 7 + 10n = 27 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + 10n = 27 + 0 7 + 10n = 27 Add '-7' to each side of the equation. 7 + -7 + 10n = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 10n = 27 + -7 10n = 27 + -7 Combine like terms: 27 + -7 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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