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Simplifying 7(n + 2) = 2 + 5n Reorder the terms: 7(2 + n) = 2 + 5n (2 * 7 + n * 7) = 2 + 5n (14 + 7n) = 2 + 5n Solving 14 + 7n = 2 + 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 + 7n + -5n = 2 + 5n + -5n Combine like terms: 7n + -5n = 2n 14 + 2n = 2 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + 2n = 2 + 0 14 + 2n = 2 Add '-14' to each side of the equation. 14 + -14 + 2n = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 2n = 2 + -14 2n = 2 + -14 Combine like terms: 2 + -14 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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