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Simplifying 8 + 13n + -7 = 9n + 51 + -6n Reorder the terms: 8 + -7 + 13n = 9n + 51 + -6n Combine like terms: 8 + -7 = 1 1 + 13n = 9n + 51 + -6n Reorder the terms: 1 + 13n = 51 + 9n + -6n Combine like terms: 9n + -6n = 3n 1 + 13n = 51 + 3n Solving 1 + 13n = 51 + 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. 1 + 13n + -3n = 51 + 3n + -3n Combine like terms: 13n + -3n = 10n 1 + 10n = 51 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + 10n = 51 + 0 1 + 10n = 51 Add '-1' to each side of the equation. 1 + -1 + 10n = 51 + -1 Combine like terms: 1 + -1 = 0 0 + 10n = 51 + -1 10n = 51 + -1 Combine like terms: 51 + -1 = 50 10n = 50 Divide each side by '10'. n = 5 Simplifying n = 5
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