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Simplifying 2(16n + 3) = 2(-2n + 9) Reorder the terms: 2(3 + 16n) = 2(-2n + 9) (3 * 2 + 16n * 2) = 2(-2n + 9) (6 + 32n) = 2(-2n + 9) Reorder the terms: 6 + 32n = 2(9 + -2n) 6 + 32n = (9 * 2 + -2n * 2) 6 + 32n = (18 + -4n) Solving 6 + 32n = 18 + -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. 6 + 32n + 4n = 18 + -4n + 4n Combine like terms: 32n + 4n = 36n 6 + 36n = 18 + -4n + 4n Combine like terms: -4n + 4n = 0 6 + 36n = 18 + 0 6 + 36n = 18 Add '-6' to each side of the equation. 6 + -6 + 36n = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 36n = 18 + -6 36n = 18 + -6 Combine like terms: 18 + -6 = 12 36n = 12 Divide each side by '36'. n = 0.3333333333 Simplifying n = 0.3333333333
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