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Simplifying 8(2n + 3) = 9(4n + 4) + 2 Reorder the terms: 8(3 + 2n) = 9(4n + 4) + 2 (3 * 8 + 2n * 8) = 9(4n + 4) + 2 (24 + 16n) = 9(4n + 4) + 2 Reorder the terms: 24 + 16n = 9(4 + 4n) + 2 24 + 16n = (4 * 9 + 4n * 9) + 2 24 + 16n = (36 + 36n) + 2 Reorder the terms: 24 + 16n = 36 + 2 + 36n Combine like terms: 36 + 2 = 38 24 + 16n = 38 + 36n Solving 24 + 16n = 38 + 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. 24 + 16n + -36n = 38 + 36n + -36n Combine like terms: 16n + -36n = -20n 24 + -20n = 38 + 36n + -36n Combine like terms: 36n + -36n = 0 24 + -20n = 38 + 0 24 + -20n = 38 Add '-24' to each side of the equation. 24 + -24 + -20n = 38 + -24 Combine like terms: 24 + -24 = 0 0 + -20n = 38 + -24 -20n = 38 + -24 Combine like terms: 38 + -24 = 14 -20n = 14 Divide each side by '-20'. n = -0.7 Simplifying n = -0.7
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