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Simplifying n + -3(1 + -7n) = 39 + 8n n + (1 * -3 + -7n * -3) = 39 + 8n n + (-3 + 21n) = 39 + 8n Reorder the terms: -3 + n + 21n = 39 + 8n Combine like terms: n + 21n = 22n -3 + 22n = 39 + 8n Solving -3 + 22n = 39 + 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. -3 + 22n + -8n = 39 + 8n + -8n Combine like terms: 22n + -8n = 14n -3 + 14n = 39 + 8n + -8n Combine like terms: 8n + -8n = 0 -3 + 14n = 39 + 0 -3 + 14n = 39 Add '3' to each side of the equation. -3 + 3 + 14n = 39 + 3 Combine like terms: -3 + 3 = 0 0 + 14n = 39 + 3 14n = 39 + 3 Combine like terms: 39 + 3 = 42 14n = 42 Divide each side by '14'. n = 3 Simplifying n = 3
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