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Simplifying -1(6n + 8) + 7(6 + -3n) = -20 Reorder the terms: -1(8 + 6n) + 7(6 + -3n) = -20 (8 * -1 + 6n * -1) + 7(6 + -3n) = -20 (-8 + -6n) + 7(6 + -3n) = -20 -8 + -6n + (6 * 7 + -3n * 7) = -20 -8 + -6n + (42 + -21n) = -20 Reorder the terms: -8 + 42 + -6n + -21n = -20 Combine like terms: -8 + 42 = 34 34 + -6n + -21n = -20 Combine like terms: -6n + -21n = -27n 34 + -27n = -20 Solving 34 + -27n = -20 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 = -20 + -34 Combine like terms: 34 + -34 = 0 0 + -27n = -20 + -34 -27n = -20 + -34 Combine like terms: -20 + -34 = -54 -27n = -54 Divide each side by '-27'. n = 2 Simplifying n = 2
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