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Simplifying 2(2n + 4) = 8(3n + 1) + 1 Reorder the terms: 2(4 + 2n) = 8(3n + 1) + 1 (4 * 2 + 2n * 2) = 8(3n + 1) + 1 (8 + 4n) = 8(3n + 1) + 1 Reorder the terms: 8 + 4n = 8(1 + 3n) + 1 8 + 4n = (1 * 8 + 3n * 8) + 1 8 + 4n = (8 + 24n) + 1 Reorder the terms: 8 + 4n = 8 + 1 + 24n Combine like terms: 8 + 1 = 9 8 + 4n = 9 + 24n Solving 8 + 4n = 9 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 8 + 4n + -24n = 9 + 24n + -24n Combine like terms: 4n + -24n = -20n 8 + -20n = 9 + 24n + -24n Combine like terms: 24n + -24n = 0 8 + -20n = 9 + 0 8 + -20n = 9 Add '-8' to each side of the equation. 8 + -8 + -20n = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -20n = 9 + -8 -20n = 9 + -8 Combine like terms: 9 + -8 = 1 -20n = 1 Divide each side by '-20'. n = -0.05 Simplifying n = -0.05
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