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Simplifying 9(2n + 5) = 8(7n + 5) + 2 Reorder the terms: 9(5 + 2n) = 8(7n + 5) + 2 (5 * 9 + 2n * 9) = 8(7n + 5) + 2 (45 + 18n) = 8(7n + 5) + 2 Reorder the terms: 45 + 18n = 8(5 + 7n) + 2 45 + 18n = (5 * 8 + 7n * 8) + 2 45 + 18n = (40 + 56n) + 2 Reorder the terms: 45 + 18n = 40 + 2 + 56n Combine like terms: 40 + 2 = 42 45 + 18n = 42 + 56n Solving 45 + 18n = 42 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 45 + 18n + -56n = 42 + 56n + -56n Combine like terms: 18n + -56n = -38n 45 + -38n = 42 + 56n + -56n Combine like terms: 56n + -56n = 0 45 + -38n = 42 + 0 45 + -38n = 42 Add '-45' to each side of the equation. 45 + -45 + -38n = 42 + -45 Combine like terms: 45 + -45 = 0 0 + -38n = 42 + -45 -38n = 42 + -45 Combine like terms: 42 + -45 = -3 -38n = -3 Divide each side by '-38'. n = 0.07894736842 Simplifying n = 0.07894736842
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