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Simplifying 6(6n + 3) = 4(2 + 5n) Reorder the terms: 6(3 + 6n) = 4(2 + 5n) (3 * 6 + 6n * 6) = 4(2 + 5n) (18 + 36n) = 4(2 + 5n) 18 + 36n = (2 * 4 + 5n * 4) 18 + 36n = (8 + 20n) Solving 18 + 36n = 8 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 18 + 36n + -20n = 8 + 20n + -20n Combine like terms: 36n + -20n = 16n 18 + 16n = 8 + 20n + -20n Combine like terms: 20n + -20n = 0 18 + 16n = 8 + 0 18 + 16n = 8 Add '-18' to each side of the equation. 18 + -18 + 16n = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 16n = 8 + -18 16n = 8 + -18 Combine like terms: 8 + -18 = -10 16n = -10 Divide each side by '16'. n = -0.625 Simplifying n = -0.625
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