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Simplifying 12(n + 2) + -1(3n + 6) = 35n Reorder the terms: 12(2 + n) + -1(3n + 6) = 35n (2 * 12 + n * 12) + -1(3n + 6) = 35n (24 + 12n) + -1(3n + 6) = 35n Reorder the terms: 24 + 12n + -1(6 + 3n) = 35n 24 + 12n + (6 * -1 + 3n * -1) = 35n 24 + 12n + (-6 + -3n) = 35n Reorder the terms: 24 + -6 + 12n + -3n = 35n Combine like terms: 24 + -6 = 18 18 + 12n + -3n = 35n Combine like terms: 12n + -3n = 9n 18 + 9n = 35n Solving 18 + 9n = 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 18 + 9n + -35n = 35n + -35n Combine like terms: 9n + -35n = -26n 18 + -26n = 35n + -35n Combine like terms: 35n + -35n = 0 18 + -26n = 0 Add '-18' to each side of the equation. 18 + -18 + -26n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -26n = 0 + -18 -26n = 0 + -18 Combine like terms: 0 + -18 = -18 -26n = -18 Divide each side by '-26'. n = 0.6923076923 Simplifying n = 0.6923076923
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