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Simplifying 8(2n + 1) = 6(6n + 6) + 3 Reorder the terms: 8(1 + 2n) = 6(6n + 6) + 3 (1 * 8 + 2n * 8) = 6(6n + 6) + 3 (8 + 16n) = 6(6n + 6) + 3 Reorder the terms: 8 + 16n = 6(6 + 6n) + 3 8 + 16n = (6 * 6 + 6n * 6) + 3 8 + 16n = (36 + 36n) + 3 Reorder the terms: 8 + 16n = 36 + 3 + 36n Combine like terms: 36 + 3 = 39 8 + 16n = 39 + 36n Solving 8 + 16n = 39 + 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 + 16n + -36n = 39 + 36n + -36n Combine like terms: 16n + -36n = -20n 8 + -20n = 39 + 36n + -36n Combine like terms: 36n + -36n = 0 8 + -20n = 39 + 0 8 + -20n = 39 Add '-8' to each side of the equation. 8 + -8 + -20n = 39 + -8 Combine like terms: 8 + -8 = 0 0 + -20n = 39 + -8 -20n = 39 + -8 Combine like terms: 39 + -8 = 31 -20n = 31 Divide each side by '-20'. n = -1.55 Simplifying n = -1.55
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