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Simplifying 5(2n + 32) + 9(n + 1) = 0 Reorder the terms: 5(32 + 2n) + 9(n + 1) = 0 (32 * 5 + 2n * 5) + 9(n + 1) = 0 (160 + 10n) + 9(n + 1) = 0 Reorder the terms: 160 + 10n + 9(1 + n) = 0 160 + 10n + (1 * 9 + n * 9) = 0 160 + 10n + (9 + 9n) = 0 Reorder the terms: 160 + 9 + 10n + 9n = 0 Combine like terms: 160 + 9 = 169 169 + 10n + 9n = 0 Combine like terms: 10n + 9n = 19n 169 + 19n = 0 Solving 169 + 19n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-169' to each side of the equation. 169 + -169 + 19n = 0 + -169 Combine like terms: 169 + -169 = 0 0 + 19n = 0 + -169 19n = 0 + -169 Combine like terms: 0 + -169 = -169 19n = -169 Divide each side by '19'. n = -8.894736842 Simplifying n = -8.894736842
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