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Simplifying 2(n + 7) = 5n + 7 Reorder the terms: 2(7 + n) = 5n + 7 (7 * 2 + n * 2) = 5n + 7 (14 + 2n) = 5n + 7 Reorder the terms: 14 + 2n = 7 + 5n Solving 14 + 2n = 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. 14 + 2n + -5n = 7 + 5n + -5n Combine like terms: 2n + -5n = -3n 14 + -3n = 7 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + -3n = 7 + 0 14 + -3n = 7 Add '-14' to each side of the equation. 14 + -14 + -3n = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -3n = 7 + -14 -3n = 7 + -14 Combine like terms: 7 + -14 = -7 -3n = -7 Divide each side by '-3'. n = 2.333333333 Simplifying n = 2.333333333
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