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Simplifying 3(8n + -1) + 7(1 + 2n) = 0 Reorder the terms: 3(-1 + 8n) + 7(1 + 2n) = 0 (-1 * 3 + 8n * 3) + 7(1 + 2n) = 0 (-3 + 24n) + 7(1 + 2n) = 0 -3 + 24n + (1 * 7 + 2n * 7) = 0 -3 + 24n + (7 + 14n) = 0 Reorder the terms: -3 + 7 + 24n + 14n = 0 Combine like terms: -3 + 7 = 4 4 + 24n + 14n = 0 Combine like terms: 24n + 14n = 38n 4 + 38n = 0 Solving 4 + 38n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 38n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 38n = 0 + -4 38n = 0 + -4 Combine like terms: 0 + -4 = -4 38n = -4 Divide each side by '38'. n = -0.1052631579 Simplifying n = -0.1052631579
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