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Simplifying 6(n + -1) = 24 + n Reorder the terms: 6(-1 + n) = 24 + n (-1 * 6 + n * 6) = 24 + n (-6 + 6n) = 24 + n Solving -6 + 6n = 24 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -6 + 6n + -1n = 24 + n + -1n Combine like terms: 6n + -1n = 5n -6 + 5n = 24 + n + -1n Combine like terms: n + -1n = 0 -6 + 5n = 24 + 0 -6 + 5n = 24 Add '6' to each side of the equation. -6 + 6 + 5n = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 5n = 24 + 6 5n = 24 + 6 Combine like terms: 24 + 6 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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