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Simplifying 2(1 + 8n) + 5n = 17 + 6n (1 * 2 + 8n * 2) + 5n = 17 + 6n (2 + 16n) + 5n = 17 + 6n Combine like terms: 16n + 5n = 21n 2 + 21n = 17 + 6n Solving 2 + 21n = 17 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 2 + 21n + -6n = 17 + 6n + -6n Combine like terms: 21n + -6n = 15n 2 + 15n = 17 + 6n + -6n Combine like terms: 6n + -6n = 0 2 + 15n = 17 + 0 2 + 15n = 17 Add '-2' to each side of the equation. 2 + -2 + 15n = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 15n = 17 + -2 15n = 17 + -2 Combine like terms: 17 + -2 = 15 15n = 15 Divide each side by '15'. n = 1 Simplifying n = 1
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