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Simplifying 5(n + 2) = 12 + 3n Reorder the terms: 5(2 + n) = 12 + 3n (2 * 5 + n * 5) = 12 + 3n (10 + 5n) = 12 + 3n Solving 10 + 5n = 12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 10 + 5n + -3n = 12 + 3n + -3n Combine like terms: 5n + -3n = 2n 10 + 2n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 2n = 12 + 0 10 + 2n = 12 Add '-10' to each side of the equation. 10 + -10 + 2n = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = 12 + -10 2n = 12 + -10 Combine like terms: 12 + -10 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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