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Simplifying 2(3n + 1) = 5(n + 2) + -5 Reorder the terms: 2(1 + 3n) = 5(n + 2) + -5 (1 * 2 + 3n * 2) = 5(n + 2) + -5 (2 + 6n) = 5(n + 2) + -5 Reorder the terms: 2 + 6n = 5(2 + n) + -5 2 + 6n = (2 * 5 + n * 5) + -5 2 + 6n = (10 + 5n) + -5 Reorder the terms: 2 + 6n = 10 + -5 + 5n Combine like terms: 10 + -5 = 5 2 + 6n = 5 + 5n Solving 2 + 6n = 5 + 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. 2 + 6n + -5n = 5 + 5n + -5n Combine like terms: 6n + -5n = 1n 2 + 1n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + 1n = 5 + 0 2 + 1n = 5 Add '-2' to each side of the equation. 2 + -2 + 1n = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 1n = 5 + -2 1n = 5 + -2 Combine like terms: 5 + -2 = 3 1n = 3 Divide each side by '1'. n = 3 Simplifying n = 3
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