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Simplifying 5(n + 2) = 2n + 1 Reorder the terms: 5(2 + n) = 2n + 1 (2 * 5 + n * 5) = 2n + 1 (10 + 5n) = 2n + 1 Reorder the terms: 10 + 5n = 1 + 2n Solving 10 + 5n = 1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 10 + 5n + -2n = 1 + 2n + -2n Combine like terms: 5n + -2n = 3n 10 + 3n = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + 3n = 1 + 0 10 + 3n = 1 Add '-10' to each side of the equation. 10 + -10 + 3n = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = 1 + -10 3n = 1 + -10 Combine like terms: 1 + -10 = -9 3n = -9 Divide each side by '3'. n = -3 Simplifying n = -3
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