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Simplifying 5(2n + -1) = (8n + 9) + 9 Reorder the terms: 5(-1 + 2n) = (8n + 9) + 9 (-1 * 5 + 2n * 5) = (8n + 9) + 9 (-5 + 10n) = (8n + 9) + 9 Reorder the terms: -5 + 10n = (9 + 8n) + 9 Remove parenthesis around (9 + 8n) -5 + 10n = 9 + 8n + 9 Reorder the terms: -5 + 10n = 9 + 9 + 8n Combine like terms: 9 + 9 = 18 -5 + 10n = 18 + 8n Solving -5 + 10n = 18 + 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. -5 + 10n + -8n = 18 + 8n + -8n Combine like terms: 10n + -8n = 2n -5 + 2n = 18 + 8n + -8n Combine like terms: 8n + -8n = 0 -5 + 2n = 18 + 0 -5 + 2n = 18 Add '5' to each side of the equation. -5 + 5 + 2n = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = 18 + 5 2n = 18 + 5 Combine like terms: 18 + 5 = 23 2n = 23 Divide each side by '2'. n = 11.5 Simplifying n = 11.5
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