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Simplifying -6(2n + -1) + -8(3n + -1) = -38 Reorder the terms: -6(-1 + 2n) + -8(3n + -1) = -38 (-1 * -6 + 2n * -6) + -8(3n + -1) = -38 (6 + -12n) + -8(3n + -1) = -38 Reorder the terms: 6 + -12n + -8(-1 + 3n) = -38 6 + -12n + (-1 * -8 + 3n * -8) = -38 6 + -12n + (8 + -24n) = -38 Reorder the terms: 6 + 8 + -12n + -24n = -38 Combine like terms: 6 + 8 = 14 14 + -12n + -24n = -38 Combine like terms: -12n + -24n = -36n 14 + -36n = -38 Solving 14 + -36n = -38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -36n = -38 + -14 Combine like terms: 14 + -14 = 0 0 + -36n = -38 + -14 -36n = -38 + -14 Combine like terms: -38 + -14 = -52 -36n = -52 Divide each side by '-36'. n = 1.444444444 Simplifying n = 1.444444444
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