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Simplifying 7n + -5(1 + -7n) = 331 7n + (1 * -5 + -7n * -5) = 331 7n + (-5 + 35n) = 331 Reorder the terms: -5 + 7n + 35n = 331 Combine like terms: 7n + 35n = 42n -5 + 42n = 331 Solving -5 + 42n = 331 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 42n = 331 + 5 Combine like terms: -5 + 5 = 0 0 + 42n = 331 + 5 42n = 331 + 5 Combine like terms: 331 + 5 = 336 42n = 336 Divide each side by '42'. n = 8 Simplifying n = 8
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