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Simplifying 3(8n + 1) + -71 = 7(5 + -1n) + n Reorder the terms: 3(1 + 8n) + -71 = 7(5 + -1n) + n (1 * 3 + 8n * 3) + -71 = 7(5 + -1n) + n (3 + 24n) + -71 = 7(5 + -1n) + n Reorder the terms: 3 + -71 + 24n = 7(5 + -1n) + n Combine like terms: 3 + -71 = -68 -68 + 24n = 7(5 + -1n) + n -68 + 24n = (5 * 7 + -1n * 7) + n -68 + 24n = (35 + -7n) + n Combine like terms: -7n + n = -6n -68 + 24n = 35 + -6n Solving -68 + 24n = 35 + -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. -68 + 24n + 6n = 35 + -6n + 6n Combine like terms: 24n + 6n = 30n -68 + 30n = 35 + -6n + 6n Combine like terms: -6n + 6n = 0 -68 + 30n = 35 + 0 -68 + 30n = 35 Add '68' to each side of the equation. -68 + 68 + 30n = 35 + 68 Combine like terms: -68 + 68 = 0 0 + 30n = 35 + 68 30n = 35 + 68 Combine like terms: 35 + 68 = 103 30n = 103 Divide each side by '30'. n = 3.433333333 Simplifying n = 3.433333333
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