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Simplifying -2(2n + -4) + -1(3n + -1) = -2 + (2n + -1) Reorder the terms: -2(-4 + 2n) + -1(3n + -1) = -2 + (2n + -1) (-4 * -2 + 2n * -2) + -1(3n + -1) = -2 + (2n + -1) (8 + -4n) + -1(3n + -1) = -2 + (2n + -1) Reorder the terms: 8 + -4n + -1(-1 + 3n) = -2 + (2n + -1) 8 + -4n + (-1 * -1 + 3n * -1) = -2 + (2n + -1) 8 + -4n + (1 + -3n) = -2 + (2n + -1) Reorder the terms: 8 + 1 + -4n + -3n = -2 + (2n + -1) Combine like terms: 8 + 1 = 9 9 + -4n + -3n = -2 + (2n + -1) Combine like terms: -4n + -3n = -7n 9 + -7n = -2 + (2n + -1) Reorder the terms: 9 + -7n = -2 + (-1 + 2n) Remove parenthesis around (-1 + 2n) 9 + -7n = -2 + -1 + 2n Combine like terms: -2 + -1 = -3 9 + -7n = -3 + 2n Solving 9 + -7n = -3 + 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. 9 + -7n + -2n = -3 + 2n + -2n Combine like terms: -7n + -2n = -9n 9 + -9n = -3 + 2n + -2n Combine like terms: 2n + -2n = 0 9 + -9n = -3 + 0 9 + -9n = -3 Add '-9' to each side of the equation. 9 + -9 + -9n = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -9n = -3 + -9 -9n = -3 + -9 Combine like terms: -3 + -9 = -12 -9n = -12 Divide each side by '-9'. n = 1.333333333 Simplifying n = 1.333333333
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