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Simplifying 3(8n + -2) + -3(1 + -1n) + 8 = 8 Reorder the terms: 3(-2 + 8n) + -3(1 + -1n) + 8 = 8 (-2 * 3 + 8n * 3) + -3(1 + -1n) + 8 = 8 (-6 + 24n) + -3(1 + -1n) + 8 = 8 -6 + 24n + (1 * -3 + -1n * -3) + 8 = 8 -6 + 24n + (-3 + 3n) + 8 = 8 Reorder the terms: -6 + -3 + 8 + 24n + 3n = 8 Combine like terms: -6 + -3 = -9 -9 + 8 + 24n + 3n = 8 Combine like terms: -9 + 8 = -1 -1 + 24n + 3n = 8 Combine like terms: 24n + 3n = 27n -1 + 27n = 8 Solving -1 + 27n = 8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 27n = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 27n = 8 + 1 27n = 8 + 1 Combine like terms: 8 + 1 = 9 27n = 9 Divide each side by '27'. n = 0.3333333333 Simplifying n = 0.3333333333
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