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Simplifying 7(n + 2) = 4n + 35 Reorder the terms: 7(2 + n) = 4n + 35 (2 * 7 + n * 7) = 4n + 35 (14 + 7n) = 4n + 35 Reorder the terms: 14 + 7n = 35 + 4n Solving 14 + 7n = 35 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 14 + 7n + -4n = 35 + 4n + -4n Combine like terms: 7n + -4n = 3n 14 + 3n = 35 + 4n + -4n Combine like terms: 4n + -4n = 0 14 + 3n = 35 + 0 14 + 3n = 35 Add '-14' to each side of the equation. 14 + -14 + 3n = 35 + -14 Combine like terms: 14 + -14 = 0 0 + 3n = 35 + -14 3n = 35 + -14 Combine like terms: 35 + -14 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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