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Simplifying 5n + 10(n + 7) = 400 Reorder the terms: 5n + 10(7 + n) = 400 5n + (7 * 10 + n * 10) = 400 5n + (70 + 10n) = 400 Reorder the terms: 70 + 5n + 10n = 400 Combine like terms: 5n + 10n = 15n 70 + 15n = 400 Solving 70 + 15n = 400 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 15n = 400 + -70 Combine like terms: 70 + -70 = 0 0 + 15n = 400 + -70 15n = 400 + -70 Combine like terms: 400 + -70 = 330 15n = 330 Divide each side by '15'. n = 22 Simplifying n = 22
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