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Simplifying 5(2n + -3) = (8n + 9) + 2 Reorder the terms: 5(-3 + 2n) = (8n + 9) + 2 (-3 * 5 + 2n * 5) = (8n + 9) + 2 (-15 + 10n) = (8n + 9) + 2 Reorder the terms: -15 + 10n = (9 + 8n) + 2 Remove parenthesis around (9 + 8n) -15 + 10n = 9 + 8n + 2 Reorder the terms: -15 + 10n = 9 + 2 + 8n Combine like terms: 9 + 2 = 11 -15 + 10n = 11 + 8n Solving -15 + 10n = 11 + 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. -15 + 10n + -8n = 11 + 8n + -8n Combine like terms: 10n + -8n = 2n -15 + 2n = 11 + 8n + -8n Combine like terms: 8n + -8n = 0 -15 + 2n = 11 + 0 -15 + 2n = 11 Add '15' to each side of the equation. -15 + 15 + 2n = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 2n = 11 + 15 2n = 11 + 15 Combine like terms: 11 + 15 = 26 2n = 26 Divide each side by '2'. n = 13 Simplifying n = 13
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