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Simplifying 9(3n + 4) = 7(2n + 4) + 4 Reorder the terms: 9(4 + 3n) = 7(2n + 4) + 4 (4 * 9 + 3n * 9) = 7(2n + 4) + 4 (36 + 27n) = 7(2n + 4) + 4 Reorder the terms: 36 + 27n = 7(4 + 2n) + 4 36 + 27n = (4 * 7 + 2n * 7) + 4 36 + 27n = (28 + 14n) + 4 Reorder the terms: 36 + 27n = 28 + 4 + 14n Combine like terms: 28 + 4 = 32 36 + 27n = 32 + 14n Solving 36 + 27n = 32 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 36 + 27n + -14n = 32 + 14n + -14n Combine like terms: 27n + -14n = 13n 36 + 13n = 32 + 14n + -14n Combine like terms: 14n + -14n = 0 36 + 13n = 32 + 0 36 + 13n = 32 Add '-36' to each side of the equation. 36 + -36 + 13n = 32 + -36 Combine like terms: 36 + -36 = 0 0 + 13n = 32 + -36 13n = 32 + -36 Combine like terms: 32 + -36 = -4 13n = -4 Divide each side by '13'. n = -0.3076923077 Simplifying n = -0.3076923077
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