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Simplifying 275 = -5(1 + 7n) 275 = (1 * -5 + 7n * -5) 275 = (-5 + -35n) Solving 275 = -5 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 275 + 35n = -5 + -35n + 35n Combine like terms: -35n + 35n = 0 275 + 35n = -5 + 0 275 + 35n = -5 Add '-275' to each side of the equation. 275 + -275 + 35n = -5 + -275 Combine like terms: 275 + -275 = 0 0 + 35n = -5 + -275 35n = -5 + -275 Combine like terms: -5 + -275 = -280 35n = -280 Divide each side by '35'. n = -8 Simplifying n = -8
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