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Simplifying 3(7n + 6) = -1(3 + -2n) + 2 Reorder the terms: 3(6 + 7n) = -1(3 + -2n) + 2 (6 * 3 + 7n * 3) = -1(3 + -2n) + 2 (18 + 21n) = -1(3 + -2n) + 2 18 + 21n = (3 * -1 + -2n * -1) + 2 18 + 21n = (-3 + 2n) + 2 Reorder the terms: 18 + 21n = -3 + 2 + 2n Combine like terms: -3 + 2 = -1 18 + 21n = -1 + 2n Solving 18 + 21n = -1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 18 + 21n + -2n = -1 + 2n + -2n Combine like terms: 21n + -2n = 19n 18 + 19n = -1 + 2n + -2n Combine like terms: 2n + -2n = 0 18 + 19n = -1 + 0 18 + 19n = -1 Add '-18' to each side of the equation. 18 + -18 + 19n = -1 + -18 Combine like terms: 18 + -18 = 0 0 + 19n = -1 + -18 19n = -1 + -18 Combine like terms: -1 + -18 = -19 19n = -19 Divide each side by '19'. n = -1 Simplifying n = -1
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