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Simplifying -2(n + -3) + -1(3n + -1) = -3 + (4n + 1) Reorder the terms: -2(-3 + n) + -1(3n + -1) = -3 + (4n + 1) (-3 * -2 + n * -2) + -1(3n + -1) = -3 + (4n + 1) (6 + -2n) + -1(3n + -1) = -3 + (4n + 1) Reorder the terms: 6 + -2n + -1(-1 + 3n) = -3 + (4n + 1) 6 + -2n + (-1 * -1 + 3n * -1) = -3 + (4n + 1) 6 + -2n + (1 + -3n) = -3 + (4n + 1) Reorder the terms: 6 + 1 + -2n + -3n = -3 + (4n + 1) Combine like terms: 6 + 1 = 7 7 + -2n + -3n = -3 + (4n + 1) Combine like terms: -2n + -3n = -5n 7 + -5n = -3 + (4n + 1) Reorder the terms: 7 + -5n = -3 + (1 + 4n) Remove parenthesis around (1 + 4n) 7 + -5n = -3 + 1 + 4n Combine like terms: -3 + 1 = -2 7 + -5n = -2 + 4n Solving 7 + -5n = -2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 7 + -5n + -4n = -2 + 4n + -4n Combine like terms: -5n + -4n = -9n 7 + -9n = -2 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + -9n = -2 + 0 7 + -9n = -2 Add '-7' to each side of the equation. 7 + -7 + -9n = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -9n = -2 + -7 -9n = -2 + -7 Combine like terms: -2 + -7 = -9 -9n = -9 Divide each side by '-9'. n = 1 Simplifying n = 1
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