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Simplifying -2(n + -5) + -1(3n + -1) = -5 + (2n + -1) Reorder the terms: -2(-5 + n) + -1(3n + -1) = -5 + (2n + -1) (-5 * -2 + n * -2) + -1(3n + -1) = -5 + (2n + -1) (10 + -2n) + -1(3n + -1) = -5 + (2n + -1) Reorder the terms: 10 + -2n + -1(-1 + 3n) = -5 + (2n + -1) 10 + -2n + (-1 * -1 + 3n * -1) = -5 + (2n + -1) 10 + -2n + (1 + -3n) = -5 + (2n + -1) Reorder the terms: 10 + 1 + -2n + -3n = -5 + (2n + -1) Combine like terms: 10 + 1 = 11 11 + -2n + -3n = -5 + (2n + -1) Combine like terms: -2n + -3n = -5n 11 + -5n = -5 + (2n + -1) Reorder the terms: 11 + -5n = -5 + (-1 + 2n) Remove parenthesis around (-1 + 2n) 11 + -5n = -5 + -1 + 2n Combine like terms: -5 + -1 = -6 11 + -5n = -6 + 2n Solving 11 + -5n = -6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 11 + -5n + -2n = -6 + 2n + -2n Combine like terms: -5n + -2n = -7n 11 + -7n = -6 + 2n + -2n Combine like terms: 2n + -2n = 0 11 + -7n = -6 + 0 11 + -7n = -6 Add '-11' to each side of the equation. 11 + -11 + -7n = -6 + -11 Combine like terms: 11 + -11 = 0 0 + -7n = -6 + -11 -7n = -6 + -11 Combine like terms: -6 + -11 = -17 -7n = -17 Divide each side by '-7'. n = 2.428571429 Simplifying n = 2.428571429
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