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Simplifying 2n + 1 = 4(3 + 5n) Reorder the terms: 1 + 2n = 4(3 + 5n) 1 + 2n = (3 * 4 + 5n * 4) 1 + 2n = (12 + 20n) Solving 1 + 2n = 12 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 1 + 2n + -20n = 12 + 20n + -20n Combine like terms: 2n + -20n = -18n 1 + -18n = 12 + 20n + -20n Combine like terms: 20n + -20n = 0 1 + -18n = 12 + 0 1 + -18n = 12 Add '-1' to each side of the equation. 1 + -1 + -18n = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -18n = 12 + -1 -18n = 12 + -1 Combine like terms: 12 + -1 = 11 -18n = 11 Divide each side by '-18'. n = -0.6111111111 Simplifying n = -0.6111111111
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