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Simplifying 3(12 + 3n) + 2(-2n + -1) = 0 (12 * 3 + 3n * 3) + 2(-2n + -1) = 0 (36 + 9n) + 2(-2n + -1) = 0 Reorder the terms: 36 + 9n + 2(-1 + -2n) = 0 36 + 9n + (-1 * 2 + -2n * 2) = 0 36 + 9n + (-2 + -4n) = 0 Reorder the terms: 36 + -2 + 9n + -4n = 0 Combine like terms: 36 + -2 = 34 34 + 9n + -4n = 0 Combine like terms: 9n + -4n = 5n 34 + 5n = 0 Solving 34 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 5n = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 5n = 0 + -34 5n = 0 + -34 Combine like terms: 0 + -34 = -34 5n = -34 Divide each side by '5'. n = -6.8 Simplifying n = -6.8
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