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