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Simplifying 2(7 + -4(1 + -1n)) + 7n = -4 + 2(6(n + 1) + -3n) 2(7 + (1 * -4 + -1n * -4)) + 7n = -4 + 2(6(n + 1) + -3n) 2(7 + (-4 + 4n)) + 7n = -4 + 2(6(n + 1) + -3n) Combine like terms: 7 + -4 = 3 2(3 + 4n) + 7n = -4 + 2(6(n + 1) + -3n) (3 * 2 + 4n * 2) + 7n = -4 + 2(6(n + 1) + -3n) (6 + 8n) + 7n = -4 + 2(6(n + 1) + -3n) Combine like terms: 8n + 7n = 15n 6 + 15n = -4 + 2(6(n + 1) + -3n) Reorder the terms: 6 + 15n = -4 + 2(6(1 + n) + -3n) 6 + 15n = -4 + 2((1 * 6 + n * 6) + -3n) 6 + 15n = -4 + 2((6 + 6n) + -3n) Combine like terms: 6n + -3n = 3n 6 + 15n = -4 + 2(6 + 3n) 6 + 15n = -4 + (6 * 2 + 3n * 2) 6 + 15n = -4 + (12 + 6n) Combine like terms: -4 + 12 = 8 6 + 15n = 8 + 6n Solving 6 + 15n = 8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 6 + 15n + -6n = 8 + 6n + -6n Combine like terms: 15n + -6n = 9n 6 + 9n = 8 + 6n + -6n Combine like terms: 6n + -6n = 0 6 + 9n = 8 + 0 6 + 9n = 8 Add '-6' to each side of the equation. 6 + -6 + 9n = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 9n = 8 + -6 9n = 8 + -6 Combine like terms: 8 + -6 = 2 9n = 2 Divide each side by '9'. n = 0.2222222222 Simplifying n = 0.2222222222
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