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Simplifying -1 + -2(7n + -1) = -5(2 + 5n) Reorder the terms: -1 + -2(-1 + 7n) = -5(2 + 5n) -1 + (-1 * -2 + 7n * -2) = -5(2 + 5n) -1 + (2 + -14n) = -5(2 + 5n) Combine like terms: -1 + 2 = 1 1 + -14n = -5(2 + 5n) 1 + -14n = (2 * -5 + 5n * -5) 1 + -14n = (-10 + -25n) Solving 1 + -14n = -10 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. 1 + -14n + 25n = -10 + -25n + 25n Combine like terms: -14n + 25n = 11n 1 + 11n = -10 + -25n + 25n Combine like terms: -25n + 25n = 0 1 + 11n = -10 + 0 1 + 11n = -10 Add '-1' to each side of the equation. 1 + -1 + 11n = -10 + -1 Combine like terms: 1 + -1 = 0 0 + 11n = -10 + -1 11n = -10 + -1 Combine like terms: -10 + -1 = -11 11n = -11 Divide each side by '11'. n = -1 Simplifying n = -1
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