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Simplifying 4(3n + 1) = 9(4n + 2) + 4 Reorder the terms: 4(1 + 3n) = 9(4n + 2) + 4 (1 * 4 + 3n * 4) = 9(4n + 2) + 4 (4 + 12n) = 9(4n + 2) + 4 Reorder the terms: 4 + 12n = 9(2 + 4n) + 4 4 + 12n = (2 * 9 + 4n * 9) + 4 4 + 12n = (18 + 36n) + 4 Reorder the terms: 4 + 12n = 18 + 4 + 36n Combine like terms: 18 + 4 = 22 4 + 12n = 22 + 36n Solving 4 + 12n = 22 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 4 + 12n + -36n = 22 + 36n + -36n Combine like terms: 12n + -36n = -24n 4 + -24n = 22 + 36n + -36n Combine like terms: 36n + -36n = 0 4 + -24n = 22 + 0 4 + -24n = 22 Add '-4' to each side of the equation. 4 + -4 + -24n = 22 + -4 Combine like terms: 4 + -4 = 0 0 + -24n = 22 + -4 -24n = 22 + -4 Combine like terms: 22 + -4 = 18 -24n = 18 Divide each side by '-24'. n = -0.75 Simplifying n = -0.75
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