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Simplifying 5n + -6 + 2n + 1 = 8 + 5n + 1 Reorder the terms: -6 + 1 + 5n + 2n = 8 + 5n + 1 Combine like terms: -6 + 1 = -5 -5 + 5n + 2n = 8 + 5n + 1 Combine like terms: 5n + 2n = 7n -5 + 7n = 8 + 5n + 1 Reorder the terms: -5 + 7n = 8 + 1 + 5n Combine like terms: 8 + 1 = 9 -5 + 7n = 9 + 5n Solving -5 + 7n = 9 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -5 + 7n + -5n = 9 + 5n + -5n Combine like terms: 7n + -5n = 2n -5 + 2n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 -5 + 2n = 9 + 0 -5 + 2n = 9 Add '5' to each side of the equation. -5 + 5 + 2n = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = 9 + 5 2n = 9 + 5 Combine like terms: 9 + 5 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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