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Simplifying 3(2n + 7) = 2n + 7 + 3n Reorder the terms: 3(7 + 2n) = 2n + 7 + 3n (7 * 3 + 2n * 3) = 2n + 7 + 3n (21 + 6n) = 2n + 7 + 3n Reorder the terms: 21 + 6n = 7 + 2n + 3n Combine like terms: 2n + 3n = 5n 21 + 6n = 7 + 5n Solving 21 + 6n = 7 + 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. 21 + 6n + -5n = 7 + 5n + -5n Combine like terms: 6n + -5n = 1n 21 + 1n = 7 + 5n + -5n Combine like terms: 5n + -5n = 0 21 + 1n = 7 + 0 21 + 1n = 7 Add '-21' to each side of the equation. 21 + -21 + 1n = 7 + -21 Combine like terms: 21 + -21 = 0 0 + 1n = 7 + -21 1n = 7 + -21 Combine like terms: 7 + -21 = -14 1n = -14 Divide each side by '1'. n = -14 Simplifying n = -14
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