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Simplifying 2(2n + 1) = 6(8n + 3) + 9 Reorder the terms: 2(1 + 2n) = 6(8n + 3) + 9 (1 * 2 + 2n * 2) = 6(8n + 3) + 9 (2 + 4n) = 6(8n + 3) + 9 Reorder the terms: 2 + 4n = 6(3 + 8n) + 9 2 + 4n = (3 * 6 + 8n * 6) + 9 2 + 4n = (18 + 48n) + 9 Reorder the terms: 2 + 4n = 18 + 9 + 48n Combine like terms: 18 + 9 = 27 2 + 4n = 27 + 48n Solving 2 + 4n = 27 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 2 + 4n + -48n = 27 + 48n + -48n Combine like terms: 4n + -48n = -44n 2 + -44n = 27 + 48n + -48n Combine like terms: 48n + -48n = 0 2 + -44n = 27 + 0 2 + -44n = 27 Add '-2' to each side of the equation. 2 + -2 + -44n = 27 + -2 Combine like terms: 2 + -2 = 0 0 + -44n = 27 + -2 -44n = 27 + -2 Combine like terms: 27 + -2 = 25 -44n = 25 Divide each side by '-44'. n = -0.5681818182 Simplifying n = -0.5681818182
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