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Simplifying -6n + -7(3n + -5) = 116 Reorder the terms: -6n + -7(-5 + 3n) = 116 -6n + (-5 * -7 + 3n * -7) = 116 -6n + (35 + -21n) = 116 Reorder the terms: 35 + -6n + -21n = 116 Combine like terms: -6n + -21n = -27n 35 + -27n = 116 Solving 35 + -27n = 116 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -27n = 116 + -35 Combine like terms: 35 + -35 = 0 0 + -27n = 116 + -35 -27n = 116 + -35 Combine like terms: 116 + -35 = 81 -27n = 81 Divide each side by '-27'. n = -3 Simplifying n = -3
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