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Simplifying 5(1 + 7n) = -275 (1 * 5 + 7n * 5) = -275 (5 + 35n) = -275 Solving 5 + 35n = -275 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 + 35n = -275 + -5 Combine like terms: 5 + -5 = 0 0 + 35n = -275 + -5 35n = -275 + -5 Combine like terms: -275 + -5 = -280 35n = -280 Divide each side by '35'. n = -8 Simplifying n = -8
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