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Simplifying 7(1 + -2n) + 2(4n + 3) + 5 = 6n (1 * 7 + -2n * 7) + 2(4n + 3) + 5 = 6n (7 + -14n) + 2(4n + 3) + 5 = 6n Reorder the terms: 7 + -14n + 2(3 + 4n) + 5 = 6n 7 + -14n + (3 * 2 + 4n * 2) + 5 = 6n 7 + -14n + (6 + 8n) + 5 = 6n Reorder the terms: 7 + 6 + 5 + -14n + 8n = 6n Combine like terms: 7 + 6 = 13 13 + 5 + -14n + 8n = 6n Combine like terms: 13 + 5 = 18 18 + -14n + 8n = 6n Combine like terms: -14n + 8n = -6n 18 + -6n = 6n Solving 18 + -6n = 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. 18 + -6n + -6n = 6n + -6n Combine like terms: -6n + -6n = -12n 18 + -12n = 6n + -6n Combine like terms: 6n + -6n = 0 18 + -12n = 0 Add '-18' to each side of the equation. 18 + -18 + -12n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -12n = 0 + -18 -12n = 0 + -18 Combine like terms: 0 + -18 = -18 -12n = -18 Divide each side by '-12'. n = 1.5 Simplifying n = 1.5
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