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Simplifying 5(2n + -1) = (2n + 1) + 8 Reorder the terms: 5(-1 + 2n) = (2n + 1) + 8 (-1 * 5 + 2n * 5) = (2n + 1) + 8 (-5 + 10n) = (2n + 1) + 8 Reorder the terms: -5 + 10n = (1 + 2n) + 8 Remove parenthesis around (1 + 2n) -5 + 10n = 1 + 2n + 8 Reorder the terms: -5 + 10n = 1 + 8 + 2n Combine like terms: 1 + 8 = 9 -5 + 10n = 9 + 2n Solving -5 + 10n = 9 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -5 + 10n + -2n = 9 + 2n + -2n Combine like terms: 10n + -2n = 8n -5 + 8n = 9 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + 8n = 9 + 0 -5 + 8n = 9 Add '5' to each side of the equation. -5 + 5 + 8n = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 8n = 9 + 5 8n = 9 + 5 Combine like terms: 9 + 5 = 14 8n = 14 Divide each side by '8'. n = 1.75 Simplifying n = 1.75
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