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Simplifying 8(3n + -1) = (8n + 8) + 6 Reorder the terms: 8(-1 + 3n) = (8n + 8) + 6 (-1 * 8 + 3n * 8) = (8n + 8) + 6 (-8 + 24n) = (8n + 8) + 6 Reorder the terms: -8 + 24n = (8 + 8n) + 6 Remove parenthesis around (8 + 8n) -8 + 24n = 8 + 8n + 6 Reorder the terms: -8 + 24n = 8 + 6 + 8n Combine like terms: 8 + 6 = 14 -8 + 24n = 14 + 8n Solving -8 + 24n = 14 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -8 + 24n + -8n = 14 + 8n + -8n Combine like terms: 24n + -8n = 16n -8 + 16n = 14 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + 16n = 14 + 0 -8 + 16n = 14 Add '8' to each side of the equation. -8 + 8 + 16n = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 16n = 14 + 8 16n = 14 + 8 Combine like terms: 14 + 8 = 22 16n = 22 Divide each side by '16'. n = 1.375 Simplifying n = 1.375
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