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Simplifying 8(2n + -1) = (8n + 5) + 9 Reorder the terms: 8(-1 + 2n) = (8n + 5) + 9 (-1 * 8 + 2n * 8) = (8n + 5) + 9 (-8 + 16n) = (8n + 5) + 9 Reorder the terms: -8 + 16n = (5 + 8n) + 9 Remove parenthesis around (5 + 8n) -8 + 16n = 5 + 8n + 9 Reorder the terms: -8 + 16n = 5 + 9 + 8n Combine like terms: 5 + 9 = 14 -8 + 16n = 14 + 8n Solving -8 + 16n = 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 + 16n + -8n = 14 + 8n + -8n Combine like terms: 16n + -8n = 8n -8 + 8n = 14 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + 8n = 14 + 0 -8 + 8n = 14 Add '8' to each side of the equation. -8 + 8 + 8n = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 8n = 14 + 8 8n = 14 + 8 Combine like terms: 14 + 8 = 22 8n = 22 Divide each side by '8'. n = 2.75 Simplifying n = 2.75
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