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Simplifying 6(5n + 7) + -4(4n + 6) = -24 Reorder the terms: 6(7 + 5n) + -4(4n + 6) = -24 (7 * 6 + 5n * 6) + -4(4n + 6) = -24 (42 + 30n) + -4(4n + 6) = -24 Reorder the terms: 42 + 30n + -4(6 + 4n) = -24 42 + 30n + (6 * -4 + 4n * -4) = -24 42 + 30n + (-24 + -16n) = -24 Reorder the terms: 42 + -24 + 30n + -16n = -24 Combine like terms: 42 + -24 = 18 18 + 30n + -16n = -24 Combine like terms: 30n + -16n = 14n 18 + 14n = -24 Solving 18 + 14n = -24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 14n = -24 + -18 Combine like terms: 18 + -18 = 0 0 + 14n = -24 + -18 14n = -24 + -18 Combine like terms: -24 + -18 = -42 14n = -42 Divide each side by '14'. n = -3 Simplifying n = -3
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