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Simplifying 5(2n + 5) = 8(7n + 7) * 7 Reorder the terms: 5(5 + 2n) = 8(7n + 7) * 7 (5 * 5 + 2n * 5) = 8(7n + 7) * 7 (25 + 10n) = 8(7n + 7) * 7 Reorder the terms: 25 + 10n = 8(7 + 7n) * 7 Reorder the terms for easier multiplication: 25 + 10n = 8 * 7(7 + 7n) Multiply 8 * 7 25 + 10n = 56(7 + 7n) 25 + 10n = (7 * 56 + 7n * 56) 25 + 10n = (392 + 392n) Solving 25 + 10n = 392 + 392n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-392n' to each side of the equation. 25 + 10n + -392n = 392 + 392n + -392n Combine like terms: 10n + -392n = -382n 25 + -382n = 392 + 392n + -392n Combine like terms: 392n + -392n = 0 25 + -382n = 392 + 0 25 + -382n = 392 Add '-25' to each side of the equation. 25 + -25 + -382n = 392 + -25 Combine like terms: 25 + -25 = 0 0 + -382n = 392 + -25 -382n = 392 + -25 Combine like terms: 392 + -25 = 367 -382n = 367 Divide each side by '-382'. n = -0.9607329843 Simplifying n = -0.9607329843
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