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Simplifying 5(3n + 5) = 8(7n + 7) + 5 Reorder the terms: 5(5 + 3n) = 8(7n + 7) + 5 (5 * 5 + 3n * 5) = 8(7n + 7) + 5 (25 + 15n) = 8(7n + 7) + 5 Reorder the terms: 25 + 15n = 8(7 + 7n) + 5 25 + 15n = (7 * 8 + 7n * 8) + 5 25 + 15n = (56 + 56n) + 5 Reorder the terms: 25 + 15n = 56 + 5 + 56n Combine like terms: 56 + 5 = 61 25 + 15n = 61 + 56n Solving 25 + 15n = 61 + 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. 25 + 15n + -56n = 61 + 56n + -56n Combine like terms: 15n + -56n = -41n 25 + -41n = 61 + 56n + -56n Combine like terms: 56n + -56n = 0 25 + -41n = 61 + 0 25 + -41n = 61 Add '-25' to each side of the equation. 25 + -25 + -41n = 61 + -25 Combine like terms: 25 + -25 = 0 0 + -41n = 61 + -25 -41n = 61 + -25 Combine like terms: 61 + -25 = 36 -41n = 36 Divide each side by '-41'. n = -0.8780487805 Simplifying n = -0.8780487805
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