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Simplifying -3(9n + -4) = -34 + -5n Reorder the terms: -3(-4 + 9n) = -34 + -5n (-4 * -3 + 9n * -3) = -34 + -5n (12 + -27n) = -34 + -5n Solving 12 + -27n = -34 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 12 + -27n + 5n = -34 + -5n + 5n Combine like terms: -27n + 5n = -22n 12 + -22n = -34 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + -22n = -34 + 0 12 + -22n = -34 Add '-12' to each side of the equation. 12 + -12 + -22n = -34 + -12 Combine like terms: 12 + -12 = 0 0 + -22n = -34 + -12 -22n = -34 + -12 Combine like terms: -34 + -12 = -46 -22n = -46 Divide each side by '-22'. n = 2.090909091 Simplifying n = 2.090909091
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