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Simplifying 12 + 2(4n + -1) = 5n + 1 Reorder the terms: 12 + 2(-1 + 4n) = 5n + 1 12 + (-1 * 2 + 4n * 2) = 5n + 1 12 + (-2 + 8n) = 5n + 1 Combine like terms: 12 + -2 = 10 10 + 8n = 5n + 1 Reorder the terms: 10 + 8n = 1 + 5n Solving 10 + 8n = 1 + 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. 10 + 8n + -5n = 1 + 5n + -5n Combine like terms: 8n + -5n = 3n 10 + 3n = 1 + 5n + -5n Combine like terms: 5n + -5n = 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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