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Simplifying 2(7 + 2n) + 2(3 + -4n) = 1 + -2n + -5n + 7 (7 * 2 + 2n * 2) + 2(3 + -4n) = 1 + -2n + -5n + 7 (14 + 4n) + 2(3 + -4n) = 1 + -2n + -5n + 7 14 + 4n + (3 * 2 + -4n * 2) = 1 + -2n + -5n + 7 14 + 4n + (6 + -8n) = 1 + -2n + -5n + 7 Reorder the terms: 14 + 6 + 4n + -8n = 1 + -2n + -5n + 7 Combine like terms: 14 + 6 = 20 20 + 4n + -8n = 1 + -2n + -5n + 7 Combine like terms: 4n + -8n = -4n 20 + -4n = 1 + -2n + -5n + 7 Reorder the terms: 20 + -4n = 1 + 7 + -2n + -5n Combine like terms: 1 + 7 = 8 20 + -4n = 8 + -2n + -5n Combine like terms: -2n + -5n = -7n 20 + -4n = 8 + -7n Solving 20 + -4n = 8 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 20 + -4n + 7n = 8 + -7n + 7n Combine like terms: -4n + 7n = 3n 20 + 3n = 8 + -7n + 7n Combine like terms: -7n + 7n = 0 20 + 3n = 8 + 0 20 + 3n = 8 Add '-20' to each side of the equation. 20 + -20 + 3n = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 3n = 8 + -20 3n = 8 + -20 Combine like terms: 8 + -20 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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