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Simplifying -1(1 + -8n) = 27 + n (1 * -1 + -8n * -1) = 27 + n (-1 + 8n) = 27 + n Solving -1 + 8n = 27 + 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. -1 + 8n + -1n = 27 + n + -1n Combine like terms: 8n + -1n = 7n -1 + 7n = 27 + n + -1n Combine like terms: n + -1n = 0 -1 + 7n = 27 + 0 -1 + 7n = 27 Add '1' to each side of the equation. -1 + 1 + 7n = 27 + 1 Combine like terms: -1 + 1 = 0 0 + 7n = 27 + 1 7n = 27 + 1 Combine like terms: 27 + 1 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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