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Simplifying -8(3n + -10) = 2 + -5n Reorder the terms: -8(-10 + 3n) = 2 + -5n (-10 * -8 + 3n * -8) = 2 + -5n (80 + -24n) = 2 + -5n Solving 80 + -24n = 2 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 80 + -24n + 5n = 2 + -5n + 5n Combine like terms: -24n + 5n = -19n 80 + -19n = 2 + -5n + 5n Combine like terms: -5n + 5n = 0 80 + -19n = 2 + 0 80 + -19n = 2 Add '-80' to each side of the equation. 80 + -80 + -19n = 2 + -80 Combine like terms: 80 + -80 = 0 0 + -19n = 2 + -80 -19n = 2 + -80 Combine like terms: 2 + -80 = -78 -19n = -78 Divide each side by '-19'. n = 4.105263158 Simplifying n = 4.105263158
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