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Simplifying 71 = -5(7n + -1) + -2(3n + 8) Reorder the terms: 71 = -5(-1 + 7n) + -2(3n + 8) 71 = (-1 * -5 + 7n * -5) + -2(3n + 8) 71 = (5 + -35n) + -2(3n + 8) Reorder the terms: 71 = 5 + -35n + -2(8 + 3n) 71 = 5 + -35n + (8 * -2 + 3n * -2) 71 = 5 + -35n + (-16 + -6n) Reorder the terms: 71 = 5 + -16 + -35n + -6n Combine like terms: 5 + -16 = -11 71 = -11 + -35n + -6n Combine like terms: -35n + -6n = -41n 71 = -11 + -41n Solving 71 = -11 + -41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41n' to each side of the equation. 71 + 41n = -11 + -41n + 41n Combine like terms: -41n + 41n = 0 71 + 41n = -11 + 0 71 + 41n = -11 Add '-71' to each side of the equation. 71 + -71 + 41n = -11 + -71 Combine like terms: 71 + -71 = 0 0 + 41n = -11 + -71 41n = -11 + -71 Combine like terms: -11 + -71 = -82 41n = -82 Divide each side by '41'. n = -2 Simplifying n = -2
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