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Simplifying -1n + 3n = 2(4 + 7n) + 4(2n + 8) Combine like terms: -1n + 3n = 2n 2n = 2(4 + 7n) + 4(2n + 8) 2n = (4 * 2 + 7n * 2) + 4(2n + 8) 2n = (8 + 14n) + 4(2n + 8) Reorder the terms: 2n = 8 + 14n + 4(8 + 2n) 2n = 8 + 14n + (8 * 4 + 2n * 4) 2n = 8 + 14n + (32 + 8n) Reorder the terms: 2n = 8 + 32 + 14n + 8n Combine like terms: 8 + 32 = 40 2n = 40 + 14n + 8n Combine like terms: 14n + 8n = 22n 2n = 40 + 22n Solving 2n = 40 + 22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22n' to each side of the equation. 2n + -22n = 40 + 22n + -22n Combine like terms: 2n + -22n = -20n -20n = 40 + 22n + -22n Combine like terms: 22n + -22n = 0 -20n = 40 + 0 -20n = 40 Divide each side by '-20'. n = -2 Simplifying n = -2
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