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Simplifying -1(6n + 8) + 7(6 + -3n) = -30 Reorder the terms: -1(8 + 6n) + 7(6 + -3n) = -30 (8 * -1 + 6n * -1) + 7(6 + -3n) = -30 (-8 + -6n) + 7(6 + -3n) = -30 -8 + -6n + (6 * 7 + -3n * 7) = -30 -8 + -6n + (42 + -21n) = -30 Reorder the terms: -8 + 42 + -6n + -21n = -30 Combine like terms: -8 + 42 = 34 34 + -6n + -21n = -30 Combine like terms: -6n + -21n = -27n 34 + -27n = -30 Solving 34 + -27n = -30 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -27n = -30 + -34 Combine like terms: 34 + -34 = 0 0 + -27n = -30 + -34 -27n = -30 + -34 Combine like terms: -30 + -34 = -64 -27n = -64 Divide each side by '-27'. n = 2.37037037 Simplifying n = 2.37037037
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