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