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Simplifying 2(8n + 9) = 4(n + 2) Reorder the terms: 2(9 + 8n) = 4(n + 2) (9 * 2 + 8n * 2) = 4(n + 2) (18 + 16n) = 4(n + 2) Reorder the terms: 18 + 16n = 4(2 + n) 18 + 16n = (2 * 4 + n * 4) 18 + 16n = (8 + 4n) Solving 18 + 16n = 8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 18 + 16n + -4n = 8 + 4n + -4n Combine like terms: 16n + -4n = 12n 18 + 12n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 18 + 12n = 8 + 0 18 + 12n = 8 Add '-18' to each side of the equation. 18 + -18 + 12n = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 12n = 8 + -18 12n = 8 + -18 Combine like terms: 8 + -18 = -10 12n = -10 Divide each side by '12'. n = -0.8333333333 Simplifying n = -0.8333333333
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