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Simplifying -7(1 + -3n) + -1 = 18 + 8n (1 * -7 + -3n * -7) + -1 = 18 + 8n (-7 + 21n) + -1 = 18 + 8n Reorder the terms: -7 + -1 + 21n = 18 + 8n Combine like terms: -7 + -1 = -8 -8 + 21n = 18 + 8n Solving -8 + 21n = 18 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -8 + 21n + -8n = 18 + 8n + -8n Combine like terms: 21n + -8n = 13n -8 + 13n = 18 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + 13n = 18 + 0 -8 + 13n = 18 Add '8' to each side of the equation. -8 + 8 + 13n = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 13n = 18 + 8 13n = 18 + 8 Combine like terms: 18 + 8 = 26 13n = 26 Divide each side by '13'. n = 2 Simplifying n = 2
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