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Simplifying -1(1 + -7n) = 2n + 24 (1 * -1 + -7n * -1) = 2n + 24 (-1 + 7n) = 2n + 24 Reorder the terms: -1 + 7n = 24 + 2n Solving -1 + 7n = 24 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -1 + 7n + -2n = 24 + 2n + -2n Combine like terms: 7n + -2n = 5n -1 + 5n = 24 + 2n + -2n Combine like terms: 2n + -2n = 0 -1 + 5n = 24 + 0 -1 + 5n = 24 Add '1' to each side of the equation. -1 + 1 + 5n = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 5n = 24 + 1 5n = 24 + 1 Combine like terms: 24 + 1 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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