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Simplifying 8(3n + -2) = (8n + 7) + 2 Reorder the terms: 8(-2 + 3n) = (8n + 7) + 2 (-2 * 8 + 3n * 8) = (8n + 7) + 2 (-16 + 24n) = (8n + 7) + 2 Reorder the terms: -16 + 24n = (7 + 8n) + 2 Remove parenthesis around (7 + 8n) -16 + 24n = 7 + 8n + 2 Reorder the terms: -16 + 24n = 7 + 2 + 8n Combine like terms: 7 + 2 = 9 -16 + 24n = 9 + 8n Solving -16 + 24n = 9 + 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. -16 + 24n + -8n = 9 + 8n + -8n Combine like terms: 24n + -8n = 16n -16 + 16n = 9 + 8n + -8n Combine like terms: 8n + -8n = 0 -16 + 16n = 9 + 0 -16 + 16n = 9 Add '16' to each side of the equation. -16 + 16 + 16n = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 16n = 9 + 16 16n = 9 + 16 Combine like terms: 9 + 16 = 25 16n = 25 Divide each side by '16'. n = 1.5625 Simplifying n = 1.5625
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