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Simplifying 6(3 + 2n) + -3n = 7n + 8 (3 * 6 + 2n * 6) + -3n = 7n + 8 (18 + 12n) + -3n = 7n + 8 Combine like terms: 12n + -3n = 9n 18 + 9n = 7n + 8 Reorder the terms: 18 + 9n = 8 + 7n Solving 18 + 9n = 8 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 18 + 9n + -7n = 8 + 7n + -7n Combine like terms: 9n + -7n = 2n 18 + 2n = 8 + 7n + -7n Combine like terms: 7n + -7n = 0 18 + 2n = 8 + 0 18 + 2n = 8 Add '-18' to each side of the equation. 18 + -18 + 2n = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 2n = 8 + -18 2n = 8 + -18 Combine like terms: 8 + -18 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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