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Simplifying -273 = 7(1 + 5n) -273 = (1 * 7 + 5n * 7) -273 = (7 + 35n) Solving -273 = 7 + 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. -273 + -35n = 7 + 35n + -35n Combine like terms: 35n + -35n = 0 -273 + -35n = 7 + 0 -273 + -35n = 7 Add '273' to each side of the equation. -273 + 273 + -35n = 7 + 273 Combine like terms: -273 + 273 = 0 0 + -35n = 7 + 273 -35n = 7 + 273 Combine like terms: 7 + 273 = 280 -35n = 280 Divide each side by '-35'. n = -8 Simplifying n = -8
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