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Simplifying -6(-5n + -8) + 3 = 171 Reorder the terms: -6(-8 + -5n) + 3 = 171 (-8 * -6 + -5n * -6) + 3 = 171 (48 + 30n) + 3 = 171 Reorder the terms: 48 + 3 + 30n = 171 Combine like terms: 48 + 3 = 51 51 + 30n = 171 Solving 51 + 30n = 171 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 30n = 171 + -51 Combine like terms: 51 + -51 = 0 0 + 30n = 171 + -51 30n = 171 + -51 Combine like terms: 171 + -51 = 120 30n = 120 Divide each side by '30'. n = 4 Simplifying n = 4
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