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Simplifying -5(6n + -7) + -8 = 117 Reorder the terms: -5(-7 + 6n) + -8 = 117 (-7 * -5 + 6n * -5) + -8 = 117 (35 + -30n) + -8 = 117 Reorder the terms: 35 + -8 + -30n = 117 Combine like terms: 35 + -8 = 27 27 + -30n = 117 Solving 27 + -30n = 117 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -30n = 117 + -27 Combine like terms: 27 + -27 = 0 0 + -30n = 117 + -27 -30n = 117 + -27 Combine like terms: 117 + -27 = 90 -30n = 90 Divide each side by '-30'. n = -3 Simplifying n = -3
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