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Simplifying 6n + -1(1 + -8n) = -28 + 5n 6n + (1 * -1 + -8n * -1) = -28 + 5n 6n + (-1 + 8n) = -28 + 5n Reorder the terms: -1 + 6n + 8n = -28 + 5n Combine like terms: 6n + 8n = 14n -1 + 14n = -28 + 5n Solving -1 + 14n = -28 + 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. -1 + 14n + -5n = -28 + 5n + -5n Combine like terms: 14n + -5n = 9n -1 + 9n = -28 + 5n + -5n Combine like terms: 5n + -5n = 0 -1 + 9n = -28 + 0 -1 + 9n = -28 Add '1' to each side of the equation. -1 + 1 + 9n = -28 + 1 Combine like terms: -1 + 1 = 0 0 + 9n = -28 + 1 9n = -28 + 1 Combine like terms: -28 + 1 = -27 9n = -27 Divide each side by '9'. n = -3 Simplifying n = -3
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