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Simplifying 5(n + 2) = 3(n) + 5 Reorder the terms: 5(2 + n) = 3(n) + 5 (2 * 5 + n * 5) = 3(n) + 5 (10 + 5n) = 3(n) + 5 Reorder the terms: 10 + 5n = 5 + 3n Solving 10 + 5n = 5 + 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 = 5 + 3n + -3n Combine like terms: 5n + -3n = 2n 10 + 2n = 5 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 2n = 5 + 0 10 + 2n = 5 Add '-10' to each side of the equation. 10 + -10 + 2n = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = 5 + -10 2n = 5 + -10 Combine like terms: 5 + -10 = -5 2n = -5 Divide each side by '2'. n = -2.5 Simplifying n = -2.5
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