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Simplifying 2(5n + 1) = 7n + 14 Reorder the terms: 2(1 + 5n) = 7n + 14 (1 * 2 + 5n * 2) = 7n + 14 (2 + 10n) = 7n + 14 Reorder the terms: 2 + 10n = 14 + 7n Solving 2 + 10n = 14 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 2 + 10n + -7n = 14 + 7n + -7n Combine like terms: 10n + -7n = 3n 2 + 3n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 2 + 3n = 14 + 0 2 + 3n = 14 Add '-2' to each side of the equation. 2 + -2 + 3n = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 14 + -2 3n = 14 + -2 Combine like terms: 14 + -2 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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