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Simplifying -2(n + -3) + -1(3n + -1) = -3 + (7n + -1) Reorder the terms: -2(-3 + n) + -1(3n + -1) = -3 + (7n + -1) (-3 * -2 + n * -2) + -1(3n + -1) = -3 + (7n + -1) (6 + -2n) + -1(3n + -1) = -3 + (7n + -1) Reorder the terms: 6 + -2n + -1(-1 + 3n) = -3 + (7n + -1) 6 + -2n + (-1 * -1 + 3n * -1) = -3 + (7n + -1) 6 + -2n + (1 + -3n) = -3 + (7n + -1) Reorder the terms: 6 + 1 + -2n + -3n = -3 + (7n + -1) Combine like terms: 6 + 1 = 7 7 + -2n + -3n = -3 + (7n + -1) Combine like terms: -2n + -3n = -5n 7 + -5n = -3 + (7n + -1) Reorder the terms: 7 + -5n = -3 + (-1 + 7n) Remove parenthesis around (-1 + 7n) 7 + -5n = -3 + -1 + 7n Combine like terms: -3 + -1 = -4 7 + -5n = -4 + 7n Solving 7 + -5n = -4 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 7 + -5n + -7n = -4 + 7n + -7n Combine like terms: -5n + -7n = -12n 7 + -12n = -4 + 7n + -7n Combine like terms: 7n + -7n = 0 7 + -12n = -4 + 0 7 + -12n = -4 Add '-7' to each side of the equation. 7 + -7 + -12n = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -12n = -4 + -7 -12n = -4 + -7 Combine like terms: -4 + -7 = -11 -12n = -11 Divide each side by '-12'. n = 0.9166666667 Simplifying n = 0.9166666667
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