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Simplifying 6(1 + 8n) + 1 = 7 + -4n (1 * 6 + 8n * 6) + 1 = 7 + -4n (6 + 48n) + 1 = 7 + -4n Reorder the terms: 6 + 1 + 48n = 7 + -4n Combine like terms: 6 + 1 = 7 7 + 48n = 7 + -4n Add '-7' to each side of the equation. 7 + -7 + 48n = 7 + -7 + -4n Combine like terms: 7 + -7 = 0 0 + 48n = 7 + -7 + -4n 48n = 7 + -7 + -4n Combine like terms: 7 + -7 = 0 48n = 0 + -4n 48n = -4n Solving 48n = -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 48n + 4n = -4n + 4n Combine like terms: 48n + 4n = 52n 52n = -4n + 4n Combine like terms: -4n + 4n = 0 52n = 0 Divide each side by '52'. n = 0 Simplifying n = 0
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