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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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