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Simplifying 6(2n + -3) = (8n + 7) + 4 Reorder the terms: 6(-3 + 2n) = (8n + 7) + 4 (-3 * 6 + 2n * 6) = (8n + 7) + 4 (-18 + 12n) = (8n + 7) + 4 Reorder the terms: -18 + 12n = (7 + 8n) + 4 Remove parenthesis around (7 + 8n) -18 + 12n = 7 + 8n + 4 Reorder the terms: -18 + 12n = 7 + 4 + 8n Combine like terms: 7 + 4 = 11 -18 + 12n = 11 + 8n Solving -18 + 12n = 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. -18 + 12n + -8n = 11 + 8n + -8n Combine like terms: 12n + -8n = 4n -18 + 4n = 11 + 8n + -8n Combine like terms: 8n + -8n = 0 -18 + 4n = 11 + 0 -18 + 4n = 11 Add '18' to each side of the equation. -18 + 18 + 4n = 11 + 18 Combine like terms: -18 + 18 = 0 0 + 4n = 11 + 18 4n = 11 + 18 Combine like terms: 11 + 18 = 29 4n = 29 Divide each side by '4'. n = 7.25 Simplifying n = 7.25
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