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Simplifying 7(n + 6) + -5(5n + -8) = -13 Reorder the terms: 7(6 + n) + -5(5n + -8) = -13 (6 * 7 + n * 7) + -5(5n + -8) = -13 (42 + 7n) + -5(5n + -8) = -13 Reorder the terms: 42 + 7n + -5(-8 + 5n) = -13 42 + 7n + (-8 * -5 + 5n * -5) = -13 42 + 7n + (40 + -25n) = -13 Reorder the terms: 42 + 40 + 7n + -25n = -13 Combine like terms: 42 + 40 = 82 82 + 7n + -25n = -13 Combine like terms: 7n + -25n = -18n 82 + -18n = -13 Solving 82 + -18n = -13 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + -18n = -13 + -82 Combine like terms: 82 + -82 = 0 0 + -18n = -13 + -82 -18n = -13 + -82 Combine like terms: -13 + -82 = -95 -18n = -95 Divide each side by '-18'. n = 5.277777778 Simplifying n = 5.277777778
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