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Simplifying 6(2n + -3) = (8n + 9) + 5 Reorder the terms: 6(-3 + 2n) = (8n + 9) + 5 (-3 * 6 + 2n * 6) = (8n + 9) + 5 (-18 + 12n) = (8n + 9) + 5 Reorder the terms: -18 + 12n = (9 + 8n) + 5 Remove parenthesis around (9 + 8n) -18 + 12n = 9 + 8n + 5 Reorder the terms: -18 + 12n = 9 + 5 + 8n Combine like terms: 9 + 5 = 14 -18 + 12n = 14 + 8n Solving -18 + 12n = 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. -18 + 12n + -8n = 14 + 8n + -8n Combine like terms: 12n + -8n = 4n -18 + 4n = 14 + 8n + -8n Combine like terms: 8n + -8n = 0 -18 + 4n = 14 + 0 -18 + 4n = 14 Add '18' to each side of the equation. -18 + 18 + 4n = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 4n = 14 + 18 4n = 14 + 18 Combine like terms: 14 + 18 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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