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Simplifying 3(3n + 4) + -2 = 5(n + -1) + -9 Reorder the terms: 3(4 + 3n) + -2 = 5(n + -1) + -9 (4 * 3 + 3n * 3) + -2 = 5(n + -1) + -9 (12 + 9n) + -2 = 5(n + -1) + -9 Reorder the terms: 12 + -2 + 9n = 5(n + -1) + -9 Combine like terms: 12 + -2 = 10 10 + 9n = 5(n + -1) + -9 Reorder the terms: 10 + 9n = 5(-1 + n) + -9 10 + 9n = (-1 * 5 + n * 5) + -9 10 + 9n = (-5 + 5n) + -9 Reorder the terms: 10 + 9n = -5 + -9 + 5n Combine like terms: -5 + -9 = -14 10 + 9n = -14 + 5n Solving 10 + 9n = -14 + 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. 10 + 9n + -5n = -14 + 5n + -5n Combine like terms: 9n + -5n = 4n 10 + 4n = -14 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + 4n = -14 + 0 10 + 4n = -14 Add '-10' to each side of the equation. 10 + -10 + 4n = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = -14 + -10 4n = -14 + -10 Combine like terms: -14 + -10 = -24 4n = -24 Divide each side by '4'. n = -6 Simplifying n = -6
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