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Simplifying -1(n + 8) = 24 + -5n Reorder the terms: -1(8 + n) = 24 + -5n (8 * -1 + n * -1) = 24 + -5n (-8 + -1n) = 24 + -5n Solving -8 + -1n = 24 + -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. -8 + -1n + 5n = 24 + -5n + 5n Combine like terms: -1n + 5n = 4n -8 + 4n = 24 + -5n + 5n Combine like terms: -5n + 5n = 0 -8 + 4n = 24 + 0 -8 + 4n = 24 Add '8' to each side of the equation. -8 + 8 + 4n = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 24 + 8 4n = 24 + 8 Combine like terms: 24 + 8 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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