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Simplifying 2(3n + 7) = 5n Reorder the terms: 2(7 + 3n) = 5n (7 * 2 + 3n * 2) = 5n (14 + 6n) = 5n Solving 14 + 6n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 14 + 6n + -5n = 5n + -5n Combine like terms: 6n + -5n = 1n 14 + 1n = 5n + -5n Combine like terms: 5n + -5n = 0 14 + 1n = 0 Add '-14' to each side of the equation. 14 + -14 + 1n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 0 + -14 1n = 0 + -14 Combine like terms: 0 + -14 = -14 1n = -14 Divide each side by '1'. n = -14 Simplifying n = -14
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