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Simplifying 4(3n + 2) = 6(6n + 7) + 9 Reorder the terms: 4(2 + 3n) = 6(6n + 7) + 9 (2 * 4 + 3n * 4) = 6(6n + 7) + 9 (8 + 12n) = 6(6n + 7) + 9 Reorder the terms: 8 + 12n = 6(7 + 6n) + 9 8 + 12n = (7 * 6 + 6n * 6) + 9 8 + 12n = (42 + 36n) + 9 Reorder the terms: 8 + 12n = 42 + 9 + 36n Combine like terms: 42 + 9 = 51 8 + 12n = 51 + 36n Solving 8 + 12n = 51 + 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. 8 + 12n + -36n = 51 + 36n + -36n Combine like terms: 12n + -36n = -24n 8 + -24n = 51 + 36n + -36n Combine like terms: 36n + -36n = 0 8 + -24n = 51 + 0 8 + -24n = 51 Add '-8' to each side of the equation. 8 + -8 + -24n = 51 + -8 Combine like terms: 8 + -8 = 0 0 + -24n = 51 + -8 -24n = 51 + -8 Combine like terms: 51 + -8 = 43 -24n = 43 Divide each side by '-24'. n = -1.791666667 Simplifying n = -1.791666667
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