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Simplifying 2(1 + 6n) + 2n = 8n + -34 (1 * 2 + 6n * 2) + 2n = 8n + -34 (2 + 12n) + 2n = 8n + -34 Combine like terms: 12n + 2n = 14n 2 + 14n = 8n + -34 Reorder the terms: 2 + 14n = -34 + 8n Solving 2 + 14n = -34 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 2 + 14n + -8n = -34 + 8n + -8n Combine like terms: 14n + -8n = 6n 2 + 6n = -34 + 8n + -8n Combine like terms: 8n + -8n = 0 2 + 6n = -34 + 0 2 + 6n = -34 Add '-2' to each side of the equation. 2 + -2 + 6n = -34 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = -34 + -2 6n = -34 + -2 Combine like terms: -34 + -2 = -36 6n = -36 Divide each side by '6'. n = -6 Simplifying n = -6
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