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Simplifying 3n + 4 = 9(3n + 4) + -1 Reorder the terms: 4 + 3n = 9(3n + 4) + -1 Reorder the terms: 4 + 3n = 9(4 + 3n) + -1 4 + 3n = (4 * 9 + 3n * 9) + -1 4 + 3n = (36 + 27n) + -1 Reorder the terms: 4 + 3n = 36 + -1 + 27n Combine like terms: 36 + -1 = 35 4 + 3n = 35 + 27n Solving 4 + 3n = 35 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. 4 + 3n + -27n = 35 + 27n + -27n Combine like terms: 3n + -27n = -24n 4 + -24n = 35 + 27n + -27n Combine like terms: 27n + -27n = 0 4 + -24n = 35 + 0 4 + -24n = 35 Add '-4' to each side of the equation. 4 + -4 + -24n = 35 + -4 Combine like terms: 4 + -4 = 0 0 + -24n = 35 + -4 -24n = 35 + -4 Combine like terms: 35 + -4 = 31 -24n = 31 Divide each side by '-24'. n = -1.291666667 Simplifying n = -1.291666667
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