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Simplifying (n + -2) + (n + -1) + 5n = 47 Reorder the terms: (-2 + n) + (n + -1) + 5n = 47 Remove parenthesis around (-2 + n) -2 + n + (n + -1) + 5n = 47 Reorder the terms: -2 + n + (-1 + n) + 5n = 47 Remove parenthesis around (-1 + n) -2 + n + -1 + n + 5n = 47 Reorder the terms: -2 + -1 + n + n + 5n = 47 Combine like terms: -2 + -1 = -3 -3 + n + n + 5n = 47 Combine like terms: n + n = 2n -3 + 2n + 5n = 47 Combine like terms: 2n + 5n = 7n -3 + 7n = 47 Solving -3 + 7n = 47 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7n = 47 + 3 Combine like terms: -3 + 3 = 0 0 + 7n = 47 + 3 7n = 47 + 3 Combine like terms: 47 + 3 = 50 7n = 50 Divide each side by '7'. n = 7.142857143 Simplifying n = 7.142857143
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