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Simplifying 12 + -3(n + -2) = 6n + -1(2n + 1) Reorder the terms: 12 + -3(-2 + n) = 6n + -1(2n + 1) 12 + (-2 * -3 + n * -3) = 6n + -1(2n + 1) 12 + (6 + -3n) = 6n + -1(2n + 1) Combine like terms: 12 + 6 = 18 18 + -3n = 6n + -1(2n + 1) Reorder the terms: 18 + -3n = 6n + -1(1 + 2n) 18 + -3n = 6n + (1 * -1 + 2n * -1) 18 + -3n = 6n + (-1 + -2n) Reorder the terms: 18 + -3n = -1 + 6n + -2n Combine like terms: 6n + -2n = 4n 18 + -3n = -1 + 4n Solving 18 + -3n = -1 + 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 + -3n + -4n = -1 + 4n + -4n Combine like terms: -3n + -4n = -7n 18 + -7n = -1 + 4n + -4n Combine like terms: 4n + -4n = 0 18 + -7n = -1 + 0 18 + -7n = -1 Add '-18' to each side of the equation. 18 + -18 + -7n = -1 + -18 Combine like terms: 18 + -18 = 0 0 + -7n = -1 + -18 -7n = -1 + -18 Combine like terms: -1 + -18 = -19 -7n = -19 Divide each side by '-7'. n = 2.714285714 Simplifying n = 2.714285714
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