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Simplifying -1(1 + 8n) = -6n + 9 (1 * -1 + 8n * -1) = -6n + 9 (-1 + -8n) = -6n + 9 Reorder the terms: -1 + -8n = 9 + -6n Solving -1 + -8n = 9 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -1 + -8n + 6n = 9 + -6n + 6n Combine like terms: -8n + 6n = -2n -1 + -2n = 9 + -6n + 6n Combine like terms: -6n + 6n = 0 -1 + -2n = 9 + 0 -1 + -2n = 9 Add '1' to each side of the equation. -1 + 1 + -2n = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -2n = 9 + 1 -2n = 9 + 1 Combine like terms: 9 + 1 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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