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Simplifying -3(n + -4) + -1(3n + -2) = -2 + (6n + -4) Reorder the terms: -3(-4 + n) + -1(3n + -2) = -2 + (6n + -4) (-4 * -3 + n * -3) + -1(3n + -2) = -2 + (6n + -4) (12 + -3n) + -1(3n + -2) = -2 + (6n + -4) Reorder the terms: 12 + -3n + -1(-2 + 3n) = -2 + (6n + -4) 12 + -3n + (-2 * -1 + 3n * -1) = -2 + (6n + -4) 12 + -3n + (2 + -3n) = -2 + (6n + -4) Reorder the terms: 12 + 2 + -3n + -3n = -2 + (6n + -4) Combine like terms: 12 + 2 = 14 14 + -3n + -3n = -2 + (6n + -4) Combine like terms: -3n + -3n = -6n 14 + -6n = -2 + (6n + -4) Reorder the terms: 14 + -6n = -2 + (-4 + 6n) Remove parenthesis around (-4 + 6n) 14 + -6n = -2 + -4 + 6n Combine like terms: -2 + -4 = -6 14 + -6n = -6 + 6n Solving 14 + -6n = -6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 14 + -6n + -6n = -6 + 6n + -6n Combine like terms: -6n + -6n = -12n 14 + -12n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 14 + -12n = -6 + 0 14 + -12n = -6 Add '-14' to each side of the equation. 14 + -14 + -12n = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -12n = -6 + -14 -12n = -6 + -14 Combine like terms: -6 + -14 = -20 -12n = -20 Divide each side by '-12'. n = 1.666666667 Simplifying n = 1.666666667
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