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Simplifying -8 + 7n = 1 + -1(1 + -5n) -8 + 7n = 1 + (1 * -1 + -5n * -1) -8 + 7n = 1 + (-1 + 5n) Combine like terms: 1 + -1 = 0 -8 + 7n = 0 + 5n -8 + 7n = 5n Solving -8 + 7n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -8 + 7n + -5n = 5n + -5n Combine like terms: 7n + -5n = 2n -8 + 2n = 5n + -5n Combine like terms: 5n + -5n = 0 -8 + 2n = 0 Add '8' to each side of the equation. -8 + 8 + 2n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 0 + 8 2n = 0 + 8 Combine like terms: 0 + 8 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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