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Simplifying 12n + 7(1 + -8n) = 471 12n + (1 * 7 + -8n * 7) = 471 12n + (7 + -56n) = 471 Reorder the terms: 7 + 12n + -56n = 471 Combine like terms: 12n + -56n = -44n 7 + -44n = 471 Solving 7 + -44n = 471 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -44n = 471 + -7 Combine like terms: 7 + -7 = 0 0 + -44n = 471 + -7 -44n = 471 + -7 Combine like terms: 471 + -7 = 464 -44n = 464 Divide each side by '-44'. n = -10.54545455 Simplifying n = -10.54545455
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